- Discrete Geodesic Calculus in the Space of Sobolev Curves
2025/05/15 by Beutler, Sascha, Hartwig, Florine, Rumpf, Martin +1 · 2 citations
#58E10 #65D18 #65K10 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
- On a Complete Riemannian Metric on the Space of Embedded Curves
2025/01/28 by Elias Döhrer, Döhrer, Elias, Philipp Reiter +3 · 3 citations
Mathematics · Physics and Astronomy · #58B20 #58D10 #58E10 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #advanced mathematical theories
- Closed geodesics and the first Betti number
2024/07/03 by Contreras, Gonzalo, Mazzucchelli, Marco · 1 citation
#53C22 #58E10 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Symplectic Geometry (math.SG)
- Geodesic loops and orthogonal geodesic chords without self-intersections
2024/07/03 by Hans–Bert Rademacher, Rademacher, Hans-Bert · 1 citation
Engineering · Mathematics · #53C22 #58E10 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications
- Timelike Ricci bounds for low regularity spacetimes by optimal transport
2022/09/08 by Braun, Mathias, Calisti, Matteo · 1 citation
#49J52 #53C50 #58E10 #83C99 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Probability (math.PR)
- Good geodesics satisfying the timelike curvature-dimension condition
2022/05/14 by Mathias Braun, Braun, Mathias · 1 citation
Mathematics · #49J52 #53C50 #58E10 #58Z05 #83C99 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Metric Geometry (math.MG)
- Linear instability of periodic orbits of free period Lagrangian systems
2021/09/24 by Portaluri, Alessandro, Wu, Li, Yang, Ran · 1 citation
#53C22 #53D12 #58E10 #58J30 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics
- Relative Hofer-Zehnder capacity and positive symplectic homology
2020/10/29 by Gabriele Benedetti, Benedetti, Gabriele, Jungsoo Kang +1 · 1 citation
Mathematics · #37J46 #53D25 #53D40 #58E10 #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
- Multiple orthogonal geodesic chords and a proof of Seifert's conjecture\n on brake orbits
2020/02/22 by Roberto Giambò, Giambó, Roberto, Fabio Giannoni +3 · 1 citation
Mathematics · #37J45 #58E10 #58E35 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
- Linear instability for periodic orbits of non-autonomous Lagrangian systems
2019/07/12 by Portaluri, Alessandro, Wu, Li, Yang, Ran · 1 citation
#53C22 #53D12 #58E10 #58J30 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- Geodesics in the Engel group with a sub-Lorentzian metric
2015/06/18 by Cai, Qihui, Huang, Tiren, Sachkov, Yuri L. +1 · 1 citation
#53C50 #58E10 #FOS: Mathematics #Optimization and Control (math.OC)
- Embedded constant curvature curves on convex surfaces
2011/05/09 by Rosenberg, Harold, Schneider, Matthias · 1 citation
#37J45 #53C42 #58E10 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics
- Alexandrov embedded closed magnetic geodesics on S2
2009/03/05 by Schneider, Matthias · 1 citation
#37J45 #53C42 #58E10 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)
- Closed Magnetic Geodesics on S2
2008/08/29 by Schneider, Matthias · 1 citation
#37J45 #53C42 #58E10 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics