SURFACES WITH CONSTANT GAUSSIAN AND MEAN CURVATURES N THE ANTI-DE SITTER SPACE IHI31 3 1

被引：0
作者：
Dursun, Ugur [1 ]
机构：
[1] Isik Univ, Ugur Dursun Dept Math, TR-34980 Sile, Istanbul, Turkiye
来源：
HONAM MATHEMATICAL JOURNAL | 2024年 / 46卷 / 02期
关键词：
anti-de Sitter space; translation isometry; Gaussian curvature; mean curvature; umbilical surface; MINIMAL TRANSLATION SURFACES;
D O I：
10.5831/HMJ.2024.46.2.249
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we study time-like and space-like surfaces variant by a group of translation isometries of the half-space model of the anti-de Sitter space IHI31. 3 1 . We determine all such surfaces with constant mean curvature and constant Gaussian curvature. We also obtain umbilical surfaces of H 3 1 .
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页码：249 / 266
页数：18
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