Convex domains of Finsler and Riemannian manifolds

DOI10.1007/s00526-010-0343-1zbMath1216.53064arXiv0911.0360OpenAlexW2026399548WikidataQ115387545 ScholiaQ115387545MaRDI QIDQ629852

Erasmo Caponio, Rossella Bartolo, Anna Valeria Germinario, Miguel Sánchez

Publication date: 10 March 2011

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0360

zbMATH Keywords

convex domainsFinsler manifoldsconvexity of hypersurfaces

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (13)

Convex regions of stationary spacetimes and Randers spaces. Applications to lensing and asymptotic flatness ⋮ Brake orbits for Hamiltonian systems of the classical type via geodesics in singular Finsler metrics ⋮ Connectivity by geodesics in open subsets of globally hyperbolic spacetimes ⋮ Finsler metrics and relativistic spacetimes ⋮ A foliated and reversible Finsler manifold is determined by its broken scattering relation ⋮ Uniqueness of the partial travel time representation of a compact Riemannian manifold with strictly convex boundary ⋮ Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system ⋮ An account on links between Finsler and Lorentz geometries for Riemannian geometers ⋮ On the interplay between Lorentzian causality and Finsler metrics of Randers type ⋮ A sharp lower bound for the first eigenvalue on Finsler manifolds ⋮ A multiplicity result for orthogonal geodesic chords in Finsler disks ⋮ On the definition and examples of cones and Finsler spacetimes ⋮ Infinitesimal and Local Convexity of a Hypersurface in a Semi-Riemannian Manifold

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