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1. The Hopf-Rinow theorem and the Mañé critical value for magnetic geodesics on odd-dimensional spheres
   2025/03/04 by Peter Albers, Albers, Peter, Gabriele Benedetti +3 · 4 citations
   Engineering · Mathematics · #37J45 #37J55 #3D Shape Modeling and Analysis #53D25 #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Symplectic Geometry (math.SG)
2. Local high-degree polynomial integrals of geodesic flows and the generalized hodograph method
   2024/11/28 by Agapov, Sergei · 1 citation
   #35C05 #37J35 #53D25 #70H06 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics
3. From curve shortening to flat link stability and Birkhoff sections of geodesic flows
   2024/08/21 by Alves, Marcelo R. R., Mazzucchelli, Marco · 1 citation
   #37D40 #53C22 #53D25 #53E10 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Symplectic Geometry (math.SG)
4. Zeitlin's model for axisymmetric 3-D Euler equations
   2024/08/20 by Modin, Klas, Preston, Stephen C. · 3 citations
   #35Q31 #53D25 #53D50 #76B47 #76M60 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)
5. Two-dimensional fluids via matrix hydrodynamics
   2024/05/23 by Klas Modin, Milo Viviani, Modin, Klas +1 · 3 citations
   Chemical Engineering · Engineering · Physics and Astronomy · #35Q31 #53D25 #53D50 #76B47 #76M60 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Lattice Boltzmann Simulation Studies #Mathematical Physics (math-ph) #Micro and Nano Robotics #Rheology and Fluid Dynamics Studies
6. Magnetic curvature and existence of a closed magnetic geodesic on low energy levels
   2023/09/06 by Valerio Assenza, Assenza, Valerio · 2 citations
   Mathematics · Physics and Astronomy · #53C21 (primary) 37N05 (secondary) #53D25 #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Symplectic Geometry (math.SG)
7. Quantitative conditions for right-handedness of flows
   2021/06/23 by Florio, Anna, Hryniewicz, Umberto · 1 citation
   #37Exx #53D25 #Dynamical Systems (math.DS) #FOS: Mathematics #Symplectic Geometry (math.SG)
8. 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)
9. Cusp excursion in hyperbolic manifolds and singularity of harmonic measure
   2019/04/25 by Randecker, Anja, Tiozzo, Giulio · 2 citations
   #53D25 #60G30 #60G50 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)
10. Entropy and drift for Gibbs measures on geometrically finite manifolds
    2019/04/02 by Gekhtman, Ilya, Tiozzo, Giulio · 2 citations
    #37D35 #53D25 #60G50 #60J50 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Probability (math.PR)
11. Persistence modules, symplectic Banach-Mazur distance and Riemannian metrics
    2018/10/26 by Stojisavljević, Vukašin, Zhang, Jun · 1 citation
    #53D22 #53D25 #55U99 #Algebraic Topology (math.AT) #Dynamical Systems (math.DS) #FOS: Mathematics #Symplectic Geometry (math.SG)
12. Multiplicity of Closed Reeb Orbits on Prequantization Bundles
    2017/03/12 by Ginzburg, Viktor L., Gurel, Basak Z., Macarini, Leonardo · 2 citations
    #37J10 #37J55 #53D25 #53D40 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Symplectic Geometry (math.SG)
13. Rapid Mixing of Geodesic Walks on Manifolds with Positive Curvature
    2016/09/09 by Mangoubi, Oren, Smith, Aaron · 1 citation
    #53D25 #60J05 #60J20 #68W20 #Computation (stat.CO) #Data Structures and Algorithms (cs.DS) #Differential Geometry (math.DG) #FOS: Computer and information sciences #FOS: Mathematics #Probability (math.PR)
14. On the completeness of the Manakov integrals
    2015/04/27 by Dragovic, Vladimir, Gajic, Borislav, Jovanovic, Bozidar · 1 citation
    #37J35 #53D25 #70E45 #70H06 #Differential Geometry (math.DG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
15. On deformations of the spectrum of a Finsler--Laplacian that preserve the length spectrum
    2014/10/04 by Thomas Barthelmé, Barthelmé, Thomas · 1 citation
    Mathematics · Physics and Astronomy · #53B40 #53D25 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Primary: 58J50 #Secondary: 37D40 #Spectral Theory (math.SP)
16. Integrability of geodesic flows for metrics on suborbits of the adjoint orbits of compact groups
    2014/02/26 by Mykytyuk, Ihor V. · 1 citation
    #17B63 #22E60 #53D20 #53D25 #Differential Geometry (math.DG) #FOS: Mathematics
17. Local Floer homology and infinitely many simple Reeb orbits
    2012/02/02 by McLean, Mark · 1 citation
    #53D10 #53D25 #53D40 #FOS: Mathematics #Symplectic Geometry (math.SG)
18. Besicovitch-Federer projection theorem and geodesic flows on Riemann surfaces
    2011/04/18 by Risto Hovila, Esa Järvenpää, Hovila, Risto +5 · 1 citation
    Mathematics · #28A80 #37C45 #37D20 #53D25 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Dynamics and Fractals
19. The Weil-Petersson geodesic flow is ergodic
    2010/04/29 by Burns, Keith, Masur, Howard, Wilkinson, Amie · 1 citation
    #30F60 #37D40 #53D25 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)
20. Riemannian Geometry of Lie Algebroids
    2008/06/21 by Boucetta, Mohamed · 1 citation
    #22A22 #53C20 #53D25 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)
21. C2 densely the 2-sphere has an elliptic closed geodesic
    2003/11/29 by Gonzalo Contreras, Fernando Oliveira, Contreras, Gonzalo +1 · 1 citation
    Mathematics · #37D30 #37D40 #53D25 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #math.DG #math.DS #msc:37D30 #msc:37D40 #msc:53D25
22. Contact toric manifolds
    2001/07/27 by Eugene Lerman, Lerman, Eugene · 2 citations
    Mathematics · #53D10 #53D25 #Advanced Combinatorial Mathematics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:14M25 #msc:53D10 #msc:53D25 #secondary 14M25