The fundamental equations of a pseudo-Finsler submersion-Reference-Cited by-同舟云学术

The fundamental equations of a pseudo-Finsler submersion

Published:2023-02-15 Issue:4 Volume:202 Page:1877-1905
ISSN:0373-3114
Container-title:Annali di Matematica Pura ed Applicata (1923 -)
language:en
Short-container-title:Annali di Matematica

Author:

Huber Matthieu,Javaloyes Miguel Angel^ORCID

Abstract

AbstractThe main result in this paper is the generalisation of the fundamental equations of a Riemannian submersion presented in the 1966 article by O’Neill (Michigan Math J 13:459–469, 1966) to the context of pseudo-Finsler submersions. In the meantime, we also explore some basic properties of the O’Neill fundamental tensors of the submersion and study Finsler submersions with totally geodesic fibers.

Funder

European Regional Development Fund

Ministerio de Ciencia, Innovación y Universidades

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10231-023-01305-2.pdf

Reference30 articles.

1. Alexandrino, M.M., Alves, B.O., Dehkordi, H.R.: On Finsler transnormal functions. Differ. Geom. Appl. 65, 93–107 (2019)

2. Alexandrino, M.M., Alves, B.O., Javaloyes, M.A.: On singular Finsler foliation. Ann. Mat. Pura Appl. 4(198), 205–226 (2019)

3. Alexandrino, M.M., Alves, B.O., Javaloyes, M.A.: On equifocal Finsler submanifolds and analytic maps, arXiv:2102.01257 [math.DG], to appear in Israel J. Math., (2021)

4. Alexandrino, M.M., Escobosa, F.M., Inagaki, M.K.: Traveling along horizontal broken geodesics of a homogenous Finsler submersion, arXiv:2204.13218 [math.DG], (2022)

5. Álvarez Paiva, J.C., Durán, C.E.: Isometric submersions of Finsler manifolds. Proc. Amer. Math. Soc. 129, 2409–2417 (2001)