arXiv Open Access 2009

Finsler geodesics in the presence of a convex function and their applications

Erasmo Caponio Miguel Angel Javaloyes Antonio Masiello

Lihat Sumber

Abstrak

We obtain a result about the existence of only a finite number of geodesics between two fixed non-conjugate points in a Finsler manifold endowed with a convex function. We apply it to Randers and Zermelo metrics. As a by-product, we also get a result about the finiteness of the number of lightlike and timelike geodesics connecting an event to a line in a standard stationary spacetime.

Topik & Kata Kunci

math.DG

Penulis (3)

Erasmo Caponio

Miguel Angel Javaloyes

Antonio Masiello

Format Sitasi

APA MLA BibTeX

Caponio, E., Javaloyes, M.A., Masiello, A. (2009). Finsler geodesics in the presence of a convex function and their applications. https://arxiv.org/abs/0910.3176

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓