CERTAIN RESULTS ON SUBMANIFOLDS OF GENERALIZED SASAKIAN SPACE-FORMS

被引：2

作者：

Yadav, Sunil Kumar ^{[1
]}

Chaubey, Sudhakar K. ^{[2
]}

机构：

[1] Poornima Coll Engn, Dept Math, ISI 6, RIICO, Jaipur 302022, Rajasthan, India

[2] Shinas Coll Technol, Dept Informat Technol, Sect Math, POB 77, Shinas 324, Oman

来源：

HONAM MATHEMATICAL JOURNAL | 2020年 / 42卷 / 01期

关键词：

Almost semi-invariant submanifold; generalized Sasakian space-forms; slant submanifolds; totally geodesic; totally umbilical and minimal submanifolds; sectional curvature; INVARIANT SUBMANIFOLDS;

D O I：

10.5831/HMJ.2020.42.1.123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of the present paper is to study certain geometrical properties of the submanifolds of generalized Sasakian space-forms. We deduce some results related to the invariant and anti-invariant slant submanifolds of the generalized Sasakian space-forms. Finally, we study the properties of the sectional curvature, totally geodesic and umbilical submanifolds of the generalized Sasakian space-forms. To prove the existence of almost semi-invariant and anti-invariant submanifolds, we provide the non-trivial examples.

引用

页码：123 / 137

页数：15

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