Generalized Weakly Symmetric Sasakian Manifolds

被引：0

作者：

Pirhadi, V. ^{[1
]}

Ramandi, G. Fasihi ^{[2
]}

Azami, S. ^{[2
]}

机构：

[1] Univ Kashan, Dept Math, Fac Math, Math, Kashan, Iran

[2] Imam Khomeini Int Univ, Fac Sci, Dept Math, Math, Qazvin, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2023年 / 17卷 / 10期

关键词：

Sasakian manifolds; generalized weakly symmetric manifolds; generalized weakly Ricci-symmetric manifolds; weakly parallel invariant submanifolds;

D O I：

10.30495/JME.2023.2546

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this parer, we give a necessary condition for Sasakian manifolds to be generalized weakly symmetric. We prove the odd-dimensional spheres are the only generalized weakly symmetric Sasakian manifolds. Then, we show that generalized weakly Ricci-symmetric Sasakian manifolds are Einstein. Thereafter, we define the sense of weakly parallel Riemannian submanifolds and show that every weakly parallel invariant submanifold of a Sasakian manifold is totally geodesic. Finally, we provide some examples which verify our main results.

引用

页数：17

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