31. Exact general relativistic discs and the advance of perihelion
    2008/01/21 by D. Vogt, P. S. Letelier · 1 citation
    Physics and Astronomy · #Apsidal precession #Astrophysical Phenomena and Observations #Celestial mechanics #Circular orbit #Gamma-ray bursts and supernovae #Geodesic #Isotropy #Orbital plane #Precession #Relativity and Gravitational Theory #Schwarzschild metric #Schwarzschild radius #astro-ph #gr-qc
32. The Mathematics of Minkowski Space-Time
    2008/01/01 by Francesco Catoni, Roberto Cannata, Dino Boccaletti · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebra over a field #Algebraic and Geometric Analysis #Classical mechanics #Computer science #Constant curvature #Curvature #Differential geometry #Epistemology #Extension (predicate logic) #Four-force #Geodesic #Geometry #Hyperbolic geometry #Hyperbolic space #Hypercomplex number #Lorentz transformation #Mathematical analysis #Mathematics #Minkowski space #Physics #Principle of relativity #Pure mathematics #Quantum mechanics #Quaternion #Relativity and Gravitational Theory #Simple (philosophy) #Space (punctuation) #Spacetime #Special relativity #Static interpretation of time #Symmetry (geometry) #Theoretical physics #Theory of relativity
33. Optimum Geometry Design of Geodesic Domes Using Harmony Search Algorithm
    2007/12/01 by M.P. Saka · 1 citation
    Engineering · Decision Sciences · Computer Science · Mathematics · #Topology Optimization in Engineering #Probabilistic and Robust Engineering Design #Advanced Multi-Objective Optimization Algorithms #Harmony search #Chord (peer-to-peer) #Geodesic #Limit state design #Algorithm #Harmony (color) #Serviceability (structure) #Engineering design process #Computer science #Engineering #Structural engineering #Geometry #Mathematics #Mathematical optimization #Mechanical engineering #Database
34. Affine differential geometry analysis of human arm movements
    2007/04/03 by Tamar Flash, Amir A. Handzel · 1 citation
    Neuroscience · Engineering · Health Professions · Mathematics · #Motor Control and Adaptation #Muscle activation and electromyography studies #Balance, Gait, and Falls Prevention #Affine transformation #Affine coordinate system #Affine geometry of curves #Mathematics #Differential geometry #Constant curvature #Geodesic #Curvature #Affine geometry #Geometry #Computer science #Artificial intelligence #Affine group #Affine space
35. HYDRODYNAMIC FLOW AS CONGRUENCE OF GEODESIC LINES IN RIEMANNIAN SPACE–TIME
    2007/03/31 by L. V. Verozub · 1 citation
    Computer Science · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Classical mechanics #Computational Physics and Python Applications #Congruence (geometry) #Cosmology and Gravitation Theories #Flow (mathematics) #Geodesic #Geodesic flow #Geodesic map #Geometry #Geophysics and Gravity Measurements #Mathematical analysis #Mathematics #Mechanics #Physics #Quantum mechanics #Riemannian geometry #Solving the geodesic equations #Space (punctuation) #Space time #Spacetime #astro-ph #gr-qc #math-ph #math.MP #physics.flu-dyn
36. On circle rotations and the shrinking target properties
    2007/02/27 by Jimmy Tseng, Tseng, Jimmy · 4 citations
    Mathematics · Physics and Astronomy · #Analytic and geometric function theory #Dynamical Systems (math.DS) #Exponent #FOS: Mathematics #Geodesic #Geometry #Irrational number #Logarithm #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Monotone polygon #Number Theory (math.NT) #Property (philosophy) #Pure mathematics #Quantum chaos and dynamical systems #math.DS #math.NT
37. Tunneling effect near a weakly isolated horizon
    2007/02/06 by Xiaoning Wu, Sijie Gao · 1 citation
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Condensed matter physics #Cosmology and Gravitation Theories #Event horizon #Galaxies: Formation, Evolution, Phenomena #Geodesic #Geodesics in general relativity #Horizon #Mathematical analysis #Mathematics #Physics #Quantum mechanics #Quantum tunnelling #Semiclassical physics #Space (punctuation) #gr-qc
38. Busemann points of infinite graphs
    2006/04/11 by Corran Webster, Adam Winchester · 4 citations
    Mathematics · #Advanced Operator Algebra Research #Boundary (topology) #Braid group #Cayley graph #Combinatorics #Discrete mathematics #Geodesic #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Graph #Heisenberg group #Limit (mathematics) #Limit set #Mathematical analysis #Mathematics #Metric (unit) #Point (geometry) #Pure mathematics
39. Perspective on gravitational self-force analyses
    2005/01/31 by Steven Detweiler · 2 citations
    Physics and Astronomy · #Astrophysical Phenomena and Observations #Einstein #Geodesic #Gravitation #Gravitational field #Metric (unit) #Perspective (graphical) #Perturbation (astronomy) #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #Remainder #Spacetime #gr-qc
40. Gravitational lensing in the strong field limit
    2002/08/31 by V. Bozza · 6 citations
    Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Black hole (networking) #Charged black hole #Classical mechanics #Cosmology and Gravitation Theories #Deflection (physics) #Galaxy #General relativity #Geodesic #Geometry #Gravitation #Gravitational field #Gravitational lens #Mathematics #Photon sphere #Physics #Pulsars and Gravitational Waves Research #Redshift #Schwarzschild radius #Strong gravitational lensing #Weak gravitational lensing #astro-ph #gr-qc
41. The Space of Kähler Metrics II
    2002/06/01 by E. Calabi, X.X. Chen · 1 citation
    Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory #Mathematics #Space (punctuation) #Geodesic #Holomorphic function #Curvature #Path (computing) #Series (stratigraphy) #Mathematical analysis #Manifold (fluid mechanics) #Function space #Pure mathematics #Combinatorics #Geometry
42. Radiation Reaction and the Self-Force for a Point Mass in General Relativity
    2000/11/11 by Steven Detweiler · 4 citations
    Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #General relativity #Geodesic #Gravitational field #Mathematical analysis #Mathematical physics #Minkowski space #Physics #Point particle #Quadrupole #Quantum mechanics #Relativity and Gravitational Theory #Spacetime #gr-qc
43. Embeddings of Gromov hyperbolic spaces
    2000/06/01 by Mario Bonk, M. Bonk, O. Schramm +1 · 2 citations
    Mathematics · #Bounded function #Convex metric space #Differential geometry #Embedding #Geodesic #Geometric and Algebraic Topology #Hyperbolic 3-manifold #Hyperbolic function #Hyperbolic geometry #Hyperbolic group #Hyperbolic manifold #Hyperbolic set #Hyperbolic space #Hyperbolic tree #Hyperbolic triangle #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Mathematics and Applications #Metric (unit) #Metric space #Pure mathematics #Relatively hyperbolic group #Space (punctuation)
44. Hausdorff dimension and conformal dynamics, III: Computation of dimension
    1998/08/01 by Curtis T. McMullen · 1 citation
    Mathematics · #Mathematical Dynamics and Fractals #Analytic and geometric function theory #Advanced Differential Equations and Dynamical Systems #Mathematics #Hausdorff dimension #Julia set #Dimension (graph theory) #Geodesic #Rational function #Conformal map #Eigenvalues and eigenvectors #Minkowski–Bouligand dimension #Combinatorics #Effective dimension #Pure mathematics #Mathematical analysis #Fractal #Fractal dimension
45. Computing geodesic paths on manifolds
    1998/07/21 by Ron Kimmel, James A. Sethian · 2 citations
    Computer Science · Engineering · Mathematics · #Computational Geometry and Mesh Generation #Data Management and Algorithms #Human Motion and Animation #Fast marching method #Geodesic #Eikonal equation #Grid #Marching cubes #Computer science #Mathematics #Polygon mesh #Algorithm #Geometry #Mathematical analysis #Visualization #Artificial intelligence
46. The Architecture of Life
    1998/01/01 by Donald E. Ingber · 4 citations
    Chemistry · Engineering · Mathematics · #Architecture #Combinatorics #Computer science #Engineering #Geodesic #Geography #Geometry #History and advancements in chemistry #Mathematics #Physics #Structural engineering #Tensegrity #Topology (electrical circuits) #Universality (dynamical systems)
47. A uniformization theorem for complete Kähler manifolds with positive holomorphic bisectional curvature
    1998/01/01 by Wan-Xiong Shi · 2 citations
    Mathematics · #Analytic and geometric function theory #Ball (mathematics) #Bounded function #Conjecture #Curvature #Geodesic #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Holomorphic function #Kähler manifold #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Pure mathematics #Ricci curvature #Scalar curvature #Sectional curvature #Uniformization (probability theory)
48. Short-cut method of solution of geodesic equations for Schwarzchild black hole
    1995/05/10 by Jean-Alain Marck, J. A. Marck · 1 citation
    Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Algorithm #Astrophysical Phenomena and Observations #Black hole (networking) #Classical mechanics #Computation #Computer science #Coordinate system #General relativity #Generalization #Geodesic #Geometry #Geophysics and Gravity Measurements #Gravitation #Kerr metric #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Rotating black hole #Schwarzschild geodesics #Schwarzschild metric #Schwarzschild radius #Solving the geodesic equations #Theoretical physics #gr-qc
49. Orbihedra of nonpositive curvature
    1995/01/07 by Werner Ballmann, Michael Brin · 3 citations
    Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Geodesic #Mathematics #Curvature #Pure mathematics #Rank (graph theory) #Sectional curvature #Product (mathematics) #Metric (unit) #Piecewise #Mathematical analysis #Geometry #Combinatorics #Scalar curvature
50. Fermi coordinates for weak gravitational fields
    1994/03/25 by Karl-Peter Marzlin · 2 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Coordinate time #Cosmology and Gravitation Theories #General relativity #Geodesic #Gravitation #Gravitational field #Gravitational potential #Introduction to the mathematics of general relativity #Mathematical analysis #Mathematics #Newtonian potential #Numerical relativity #Observer (physics) #Physics #Quantum mechanics #Relativity and Gravitational Theory #Two-body problem in general relativity #gr-qc
51. Reimann surfaces with shortest geodesic of maximal length
    1993/11/01 by Paul Schmutz, P. Schmutz · 1 citation
    Mathematics · #Combinatorics #Constant (computer programming) #Constant curvature #Curvature #Euclidean geometry #Euclidean space #Geodesic #Geometric and Algebraic Topology #Geometry #Mathematical analysis #Mathematics #Mathematics and Applications #Point processes and geometric inequalities #Polyhedron #Pure mathematics
52. Primary Hypergeodesic Polytopes
    1990/09/01 by Koji Miyazaki · 2 citations
    Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Mathematics and Applications #Structural Analysis of Composite Materials #Polytope #Chord (peer-to-peer) #Geodesic #Combinatorics #Polytope model #Mathematics #Cartesian coordinate system #Computer science #Geometry
53. Homology and Closed Geodesics in a Compact Riemann Surface
    1988/02/01 by Atsushi Katsuda, Toshikazu Sunada · 2 citations
    Mathematics · #Compact Riemann surface #Geodesic #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Pure mathematics #Riemann surface #Surface (topology)
54. Solutions of the Equations of Geodesic Deviation for Static Spherical Symmetric Space‐times
    1983/01/01 by Helmut V. Fuchs, H. Fuchs · 5 citations
    Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Field (mathematics) #General relativity #Geodesic #Geophysics and Gravity Measurements #Gravitation #Killing vector field #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Relativity and Gravitational Theory #Schwarzschild metric #Schwarzschild radius #Solving the geodesic equations #Space (punctuation) #Symmetric space
55. Comments on certain divergence-free tensor densities in a 3-space
    1979/09/01 by S. J. Aldersley · 1 citation
    Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Tensor density #Weyl tensor #Tensor field #Mathematics #Metric tensor #Ricci decomposition #Einstein tensor #Tensor (intrinsic definition) #Conformal map #Pseudo-Riemannian manifold #Tensor contraction #Covariance and contravariance of vectors #Mathematical physics #Mathematical analysis #Pure mathematics #Riemann curvature tensor #Scalar curvature #Exact solutions in general relativity #Geometry #Geodesic
56. The propagation of singularities along gliding rays
    1977/10/01 by Karl Gustav Andersson, K. G. Andersson, R. B. Melrose +1 · 9 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Boundary (topology) #Differential operator #Geodesic #Geometric Analysis and Curvature Flows #Geometry #Gravitational singularity #Mathematical analysis #Mathematics #Operator (biology) #Spectral Theory in Mathematical Physics
57. Tensor Geometry
    1977/01/01 by Christopher Terence John Dodson, C. T. J. Dodson, Timothy Poston +1 · 1 citation
    Computer Science · Mathematics · #Algebra over a field #Combinatorics #Covariant transformation #Geodesic #Geometry #Mathematics #Mathematics and Applications #Mathematics education #Mathematics, Computing, and Information Processing #Metric tensor #Physics #Pure mathematics #Tensor (intrinsic definition) #Topology (electrical circuits)
58. On a Class of Geodesics in Teichmuller Space
    1975/09/01 by Howard Masur · 2 citations
    Mathematics · #Analytic and geometric function theory #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Mathematics #Geodesic #Teichmüller space #Class (philosophy) #Pure mathematics #Space (punctuation) #Mathematical analysis #Artificial intelligence
59. A class of solutions of Einstein-Maxwell equations
    1975/03/01 by Jerzy Plebański, Jerzy F Plebañski · 12 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Einstein #Electromagnetic field #Field (mathematics) #Geodesic #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Maxwell's equations #Metric tensor #Physics #Pure mathematics #Quantum mechanics #Relativity and Gravitational Theory #Section (typography)
60. Quantum Theory of Gravity. I. The Canonical Theory
    1967/08/25 by Bryce S. DeWitt · 24 citations
    Physics and Astronomy · Medicine · Mathematics · #Quantum Mechanics and Applications #Biofield Effects and Biophysics #Relativity and Gravitational Theory #Physics #Quantum gravity #Geodesic #Classical mechanics #Gravitation #Manifold (fluid mechanics) #General relativity #Invariant manifold #Hamiltonian (control theory) #Mathematical physics #Mathematical analysis #Quantum #Mathematics #Quantum mechanics

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