On timelike Bonnet surfaces in Lorentzian 3-manifold

Fuente: arXiv
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Autori principali: Niang, Athoumane, Ndiaye, Ameth, Thiandoum, Adama
Natura: Preprint
Pubblicazione: 2024
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author Niang, Athoumane
Ndiaye, Ameth
Thiandoum, Adama
author_facet Niang, Athoumane
Ndiaye, Ameth
Thiandoum, Adama
contents In this paper we generalized a result of Soley Ersoy and Kemal Eren [10] about Bonnet timelike surface in Minkowski 3-space. We give a necessary and sufficient condition for a surface M in a Lorentzian 3-space to be timelike Bonnet surface. At the end, a theorem of classification of timelike Bonnet surface in a Lorentzian 3-space is given.
format Preprint
id arxiv_https___arxiv_org_abs_2402_08111
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On timelike Bonnet surfaces in Lorentzian 3-manifold
Niang, Athoumane
Ndiaye, Ameth
Thiandoum, Adama
Differential Geometry
In this paper we generalized a result of Soley Ersoy and Kemal Eren [10] about Bonnet timelike surface in Minkowski 3-space. We give a necessary and sufficient condition for a surface M in a Lorentzian 3-space to be timelike Bonnet surface. At the end, a theorem of classification of timelike Bonnet surface in a Lorentzian 3-space is given.
title On timelike Bonnet surfaces in Lorentzian 3-manifold
topic Differential Geometry
url https://arxiv.org/abs/2402.08111