BICONSERVATIVE PNMCV SURFACES IN THE ARBITRARY DIMENSIONAL MINKOWSKI SPACE

被引：0

作者：

Turgay, Nurettin cenk ^{[1
]}

Sen, Ruya yegin ^{[2
]}

机构：

[1] Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkiye

[2] Istanbul Medeniyet Univ, Fac Engn & Nat Sci, Dept Math, TR-34700 Istanbul, Turkiye

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2025年 / 62卷 / 01期

关键词：

Biconservative surfaces; parallel normalized mean curvature vec- tors; Minkowski space; DISTINCT PRINCIPAL CURVATURES; HYPERSURFACES;

D O I：

10.4134/JKMS.j230614

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study biconservative surfaces with parallel normalized mean curvature vector field in the arbitrary dimensional Minkowski space E m 1 , where m >= 4. Firstly, we obtain some geometric properties of these surfaces. In particular, we prove that if M is a PNMCV biconservative surface in E m 1 , then it must be contained in a 4-dimensional non-degenerated totally geodesic of E m 1 and all its shape operators are diagonalizable. Then, we give local classification theorems for biconservative PNMCV space-like and time-like surfaces in E 4 1 .

引用

页码：145 / 163

页数：19