Pseudo‐hyperbolic Gauss maps of Lorentzian surfaces in anti‐de Sitter space

Autor:	Naoyuki Koike, Honoka Kobayashi
Rok vydání:	2020
Předmět:	Gauss map General Mathematics Gaussian 010102 general mathematics Gauss Type (model theory) Space (mathematics) 01 natural sciences 010101 applied mathematics General Relativity and Quantum Cosmology symbols.namesake symbols Mathematics::Differential Geometry Anti-de Sitter space 0101 mathematics Type number Constant (mathematics) Mathematical physics Mathematics
Zdroj:	Mathematische Nachrichten. 293:923-944
ISSN:	1522-2616 0025-584X
Popis:	In this paper, we determine the type numbers of the pseudo‐hyperbolic Gauss maps of all oriented Lorentzian surfaces of constant mean and Gaussian curvatures and non‐diagonalizable shape operator in the 3‐dimensional anti‐de Sitter space. Also, we investigate the behavior of type numbers of the pseudo‐hyperbolic Gauss map along the parallel family of such oriented Lorentzian surfaces in the 3‐dimensional anti‐de Sitter space. Furthermore, we investigate the type number of the pseudo‐hyperbolic Gauss map of one of Lorentzian hypersurfaces of B‐scroll type in a general dimensional anti‐de Sitter space.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ea7d5f349182e6f5b14cae0c7a65c959 https://doi.org/10.1002/mana.201800447 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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