Conformally flat Willmore spacelike hypersurfaces inRn+1

Autor:	Zonggang Deng, Tongzhu Li
Rok vydání:	2020
Předmět:	General Relativity and Quantum Cosmology Quantitative Biology::Tissues and Organs General Mathematics Hyperelastic material Lorentzian space Conformal map Mathematics::Differential Geometry Mathematical physics Mathematics
Zdroj:	TURKISH JOURNAL OF MATHEMATICS. 44:252-273
ISSN:	1303-6149
DOI:	10.3906/mat-1904-42
Popis:	In this paper, we give the equation satisfied by umbilics-free Willmore spacelike hypersurfaces using the conformal invariants in Lorentzian space forms. At the same time, we give the equation satisfied by hyperelastic spacelike curves in 2-dimensional Lorentzian space forms and classify the closed hyperelastic spacelike curves. Finally conformally flat Willmore spacelike hypersurfaces are classified in terms of the hyperelastic spacelike curves in 2-dimensional Lorentzian space forms.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::02ad5463e26fcfa06e29c80d2e92f758 https://doi.org/10.3906/mat-1904-42 Zobrazit plný text záznamu Plný text ve formátu PDF