A note on the existence of tubular neighbourhoods on Finsler manifolds and minimization of orthogonal geodesics to a submanifold

DOI10.1090/proc/14229zbMath1404.53024arXiv1710.01699OpenAlexW2962993850WikidataQ129718122 ScholiaQ129718122MaRDI QIDQ4555832

Miguel Ángel Javaloyes, Benigno O. Alves

Publication date: 23 November 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01699

zbMATH Keywords

tubular neighbourhoodsFinsler submanifoldorthogonal geodesics

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (4)

On Finsler transnormal functions ⋮ On singular Finsler foliation ⋮ Applications of cone structures to the anisotropic rheonomic Huygens' principle ⋮ Isoparametric hypersurfaces in Finsler space forms

Cites Work

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• On the energy functional on Finsler manifolds and applications to stationary spacetimes
• On singular Finsler foliation
• Introduction to differentiable manifolds.
• Isometric submersions of Finsler manifolds
• Penrose’s singularity theorem in a Finsler spacetime
• Volume comparison theorem for tubular neighborhoods of submanifolds in Finsler geometry and its applications
• Geodesics and Jacobi fields of pseudo-Finsler manifolds
• Chern connection of a pseudo-Finsler metric as a family of affine connections

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