Invariant Submanifolds of Hyperbolic Sasakian Manifolds and η-Ricci-Bourguignon Solitons

被引：12

作者：

Chaubey, Sudhakar K. ^{[1
]}

Siddiqi, M. Danish ^{[2
]}

Prakasha, D. G. ^{[3
]}

机构：

[1] Univ Technol & Appl Sci Shinas, Dept Informat Technol, Sect Math, POB 77, Shinas 324, Oman

[2] Jazan Univ, Coll Sci, Dept Math, Jazan, Saudi Arabia

[3] Davangere Univ, Dept Studies Math, Shivagangothri Campus, Davangere 577007, India

来源：

FILOMAT | 2022年 / 36卷 / 02期

关键词：

Hyperbolic Sasakian manifolds; invariant and totally geodesic submanifolds; minimal submanifolds; concircular vector field; Ricci-Bourguignon flows; eta-Ricci-Bourguignon solitons;

D O I：

10.2298/FIL2202409C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We set the goal to study the properties of invariant submanifolds of the hyperbolic Sasakian manifolds. It is proven that a three-dimensional submanifold of a hyperbolic Sasakian manifold is totally geodesic if and only if it is invariant. Also, we discuss the properties of eta-Ricci-Bourguignon solitons on invariant submanifolds of the hyperbolic Sasakian manifolds. Finally, we construct a non-trivial example of a three-dimensional invariant submanifold of five-dimensional hyperbolic Sasakian manifold and validate some of our results.

引用

页码：409 / 421

页数：13

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