SEMI-INVARIANT HYPERSURFACES IN RIEMANNIAN PRODUCT MANIFOLDS

被引：0

作者：

Gulbahar, Mehmet ^{[1
]}

Erkan, Esra ^{[1
]}

机构：

[1] Harran Univ, Dept Math, TR-63300 Sanliurfa, Turkiye

来源：

JOURNAL OF SCIENCE AND ARTS | 2023年 / 04期

关键词：

Hypersurface; almost product Riemannian manifold; para-contact structure; Lie derivative; curvature; REAL HYPERSURFACES;

D O I：

10.46939/J.Sci.Arts-23.4-a04

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Semi -invariant hypersurfaces of almost product Riemannian manifolds are introduced. Using the fact that this kind of hypersurfaces admits a para-contact structure, some basic geometric properties are investigated. Some examples of semi -invariant are presented. With the aid of the Lie derivative and Riemannian curvature tensors, various characterizations are obtained.

引用

页码：849 / 866

页数：18

共 25 条

[1]

Acet B. E., 2012, International Journal of Mathematics and Mathematical Sciences

[2]

Adati T., 1981, Kodai Mathematical Journal, V4, P327

[3]

[Anonymous], 2001, Tokyo Journal of Mathematics

[4] Circular trajectories on real hypersurfaces in a nonflat complex space form [J].

Bao T. ;

Adachi T. .

Journal of Geometry, 2009, 96 (1-2) :41-55

[5]

Blair D.E., 1969, Tohoku Math. J, V22, P354, DOI [10.2748/tmj/1178242948, DOI 10.2748/TMJ/1178242948]

[6]

Chen BY., 1973, PURE APPL MATH

[7] Rotating intersecting M-branes [J].

Cvetic, M ;

Youm, D .

NUCLEAR PHYSICS B, 1997, 499 (1-2) :253-282

[8]

De UC, 2017, B IRAN MATH SOC, V43, P1571

[9] On Para-Sasakian Manifolds Satisfying Certain Curvature Conditions [J].

De, U. C. ;

Han, Yanling ;

Mandal, Krishanu .

FILOMAT, 2017, 31 (07) :1941-1947

[10]

Deshmukh S., 1979, Tamkang Journal of Mathematics, V10, P169

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