- Uniformization of Riemann Surfaces: Revisiting a Hundred-year-old Theorem
2015/12/14 by Henri Paul de Saint-Gervais, R. G. Burns · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Calculus (dental) #Computer science #Geometric Analysis and Curvature Flows #Geometric function theory #History and Theory of Mathematics #Mathematics #Mathematics and Applications #Physics #Pure mathematics #Riemann hypothesis #Riemann surface #Riemann–Hurwitz formula #Statistics #Uniformization (probability theory) #Uniformization theorem
- Riemann Surfaces
2011/03/24 by Simon Donaldson · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Mathematics and Applications #Meromorphic function #Riemann surface #Mathematics #Geometry and topology #Connection (principal bundle) #Geometric function theory #Topology (electrical circuits) #Surface (topology) #Riemann–Hurwitz formula #Manifold (fluid mechanics) #Algebraic topology #Section (typography) #Calculus (dental) #Class (philosophy) #Uniformization theorem #Riemann hypothesis #Pure mathematics #Geometry #Homotopy #Computer science #Combinatorics
- Geometry and Spectra of Compact Riemann Surfaces
2010/01/01 by Peter Buser · 1 citation
Chemistry · Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Biology #Chemistry #Computer science #Genus #Geometric function theory #Geometry #Laplace transform #Mathematical analysis #Mathematics #Operator (biology) #Physics #Pure mathematics #Riemann hypothesis #Riemann surface #Riemann–Hurwitz formula #Subject (documents)
- Orbifold Riemann surfaces and geodesic algebras
2009/07/14 by L. O. Chekhov, L O Chekhov · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Braid group #Geodesic #Geometric and Algebraic Topology #Geometric function theory #Graph #Homotopy and Cohomology in Algebraic Topology #Orbifold #Quantum #Riemann hypothesis #Riemann surface #math-ph #math.MP #msc:53D30 #msc:81S10
- A note on uniformization of Riemann surfaces by Ricci flow
2006/06/06 by Xiuxiong Chen, Peng Lü, Gang Tian · 2 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Geometry and complex manifolds #Uniformization (probability theory) #Uniformization theorem #Ricci flow #Mathematics #Riemann hypothesis #Flow (mathematics) #Pure mathematics #Geometric function theory #Geometry #Riemann–Hurwitz formula #Ricci curvature #Statistics
- Fredholm theory and transversality for noncompact pseudoholomorphic mapsin symplectizations
2004/03/19 by Dragomir L. Dragnev, Dragomir Dragnev · 22 citations
Mathematics · #Dimension (graph theory) #Euler characteristic #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometric function theory #Geometry #Geometry and complex manifolds #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Moduli space #Pure mathematics #Riemann surface #Surface (topology) #Transversality #Vector field
- Curvature and uniformization
2002/12/01 by Rafe Mazzeo, Michael Taylor, Michael E. Taylor · 2 citations
Mathematics · #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Boundary (topology) #Bounded function #Closure (psychology) #Compact Riemann surface #Conformal map #Constant (computer programming) #Constant curvature #Curvature #Geometric Analysis and Curvature Flows #Geometric function theory #Geometry #Mathematical analysis #Mathematics #Mean curvature #Metric (unit) #Pure mathematics #Riemann hypothesis #Riemann sphere #Riemann surface #Riemann–Hurwitz formula #Uniformization (probability theory) #Uniformization theorem
- Groups as Galois Groups
1996/08/13 by Helmut Völklein · 2 citations
Mathematics · #History and Theory of Mathematics #Algebraic Geometry and Number Theory #Galois theory #Mathematics #Fundamental theorem of Galois theory #Galois group #Braid group #Group (periodic table) #Algebra over a field #Galois extension #Riemann surface #Group theory #Galois module #Embedding problem #Pure mathematics #Group action #Abstract algebra #Riemann–Hurwitz formula #Geometric function theory
- The Ricci flow on the 2-sphere
1991/01/01 by Bennett Chow · 5 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Mathematics #Uniformization (probability theory) #Uniformization theorem #Yamabe flow #Constant (computer programming) #Metric (unit) #Conformal map #Differential geometry #Ricci flow #Ricci curvature #Mathematical analysis #Curvature #Pure mathematics #Scalar curvature #Sectional curvature #Geometry #Riemann hypothesis #Geometric function theory
- Inner and outer functions on Riemann surfaces
1965/12/01 by Michael Voichick, Lawrence Zalcman · 1 citation
Mathematics · #Algebraic and Geometric Analysis #Analytic and geometric function theory #Geometric function theory #Holomorphic and Operator Theory #Mathematical analysis #Mathematics #Riemann hypothesis #Riemann surface
- Riemann's Mapping Theorem for Variable Metrics
1960/09/01 by Lars V. Ahlfors, Lars Ahlfors, Lipman Bers · 11 citations
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Algebra over a field #Calculus (dental) #Geometric function theory #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Pure mathematics #Riemann hypothesis #Variable (mathematics)
- The Conformal Mapping of Simply Connected Riemann Surfaces II
1957/12/01 by Maurice Heins · 1 citation
Mathematics · #History and Theory of Mathematics #Geometric Analysis and Curvature Flows #Mathematics #Countable set #Riemann surface #Uniformization theorem #Geometric function theory #Pure mathematics #Conformal map #Riemann sphere #Riemann hypothesis #Fundamental theorem #Simple (philosophy) #Connection (principal bundle) #Discrete mathematics #Mathematical analysis #Riemann–Hurwitz formula #Geometry #Fixed-point theorem
- A linear operator method on arbitrary Riemann surfaces
1952/01/01 by Leo Sario · 1 citation
Computer Science · Mathematics · #Continuous linear operator #Geometric function theory #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Operator (biology) #Pure mathematics #Riemann hypothesis #Riemann surface
- The Conformal Mapping of Simply-Connected Riemann Surfaces
1949/07/01 by Maurice Heins · 3 citations
Mathematics · #Analytic and geometric function theory #Conformal map #Geometric Analysis and Curvature Flows #Geometric function theory #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Pure mathematics #Riemann hypothesis #Riemann surface #Simply connected space