Hopf conjecture holds for analytic, \(k\)-basic Finsler tori without conjugate points
From MaRDI portal
Publication:905871
DOI10.1007/s00574-015-0106-xzbMath1334.53080OpenAlexW2460510034WikidataQ123361269 ScholiaQ123361269MaRDI QIDQ905871
José Barbosa Gomes, Rafael Oswaldo Ruggiero, Mario Jorge Dias Carneiro
Publication date: 28 January 2016
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00574-015-0106-x
Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Geodesic flows in symplectic geometry and contact geometry (53D25) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)
Related Items
Reversibility at infinity and rigidity of Finsler manifolds without conjugate points ⋮ Blaschke Finsler manifolds and actions of projective Randers changes on cut loci
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geodesic flows
- Differentiable rigidity of Fuchsian groups
- Riemannian tori without conjugate points are flat
- On the geodesic flow of tori without conjugate points
- On tori without conjugate points
- Rigidity of magnetic flows for compact surfaces
- A first integral for 𝐶^{∞}, k-basic Finsler surfaces and applications to rigidity
- Examples of Finsler metrics without conjugate points: Metrics of revolution
- Rigidity of surfaces whose geodesic flows preserve smooth foliations of codimension 1
- Convex Hamiltonians without conjugate points
- Rigidity for periodic magnetic fields
- On Finsler surfaces without conjugate points
- Weak integrability of Hamiltonians on the two torus and rigidity
- Closed Surfaces Without Conjugate Points
- The geometry of Finsler spaces
- Surfaces Without Conjugate Points
- Geodesics on a two-dimensional Riemannian manifold with periodic coefficients
