| Issue |
EPL
Volume 143, Number 6, September 2023
|
|
|---|---|---|
| Article Number | 62001 | |
| Number of page(s) | 5 | |
| Section | Mathematical and interdisciplinary physics | |
| DOI | https://doi.org/10.1209/0295-5075/acfa21 | |
| Published online | 02 October 2023 | |
Hyperbolic cones for casual diffeomorphisms
Department of Pure Mathematics, Shahid Bahonar University of Kerman - Kerman, Iran
(a) E-mail: sarerahimi.moghbeli@yahoo.com
(b) E-mail: molaei_mreza@yahoo.com (corresponding author)
Received: 31 July 2023
Accepted: 15 September 2023
This paper begins with introducing a new class of diffeomorphisms on pseudo-Riemannian manifolds which are called casual diffeomorphisms. We deduce a new pseudo-Riemannian metric via a casual diffeomorphism. We introduce a class of cones for a diffeomorphism, and we prove the existence of such cones for each p in a hyperbolic set of a casual diffeomorphism. As an example we find a hyperbolic casual diffeomorphism on a Schwarzschild pseudo-Riemannian manifold, and show that the whole manifold is a hyperbolic set for it.
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