A Hypersurfaces of Revolution Family in the Five-Dimensional Pseudo-Euclidean Space E25

被引：21

作者：

Li, Yanlin ^{[1
,2
]}

Guler, Erhan ^{[3
]}

机构：

[1] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China

[2] Hangzhou Normal Univ, Key Lab Cryptog Zhejiang Prov, Hangzhou 311121, Peoples R China

[3] Bartin Univ, Fac Sci, Dept Math, Kutlubey Campus, TR-74100 Bartin, Turkiye

来源：

MATHEMATICS | 2023年 / 11卷 / 15期

关键词：

pseudo-Euclidean; 5-space; hypersurfaces of revolution family; Gauss map; shape operator; curvature; Laplace-Beltrami operator; 4-DIMENSIONAL CR SUBMANIFOLDS; BI-ROTATIONAL HYPERSURFACE; LAPLACE-BELTRAMI OPERATOR; RULED SURFACES; SATISFYING DELTA(III)X; GAUSS; EXTENSION; CURVATURE; FRAME;

D O I：

10.3390/math11153427

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a family of hypersurfaces of revolution distinguished by four parameters in the five-dimensional pseudo-Euclidean space E-2(5). The matrices corresponding to the fundamental form, Gauss map, and shape operator of this family are computed. By utilizing the Cayley-Hamilton theorem, we determine the curvatures of the specific family. Furthermore, we establish the criteria for maximality within this framework. Additionally, we reveal the relationship between the Laplace-Beltrami operator of the family and a 5x5 matrix.

引用

页数：12

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