Totally Umbilical Semi-Invariant Submanifolds in Locally Decomposable Metallic Riemannian Manifolds

被引：2

作者：

Gok, Mustafa ^{[1
]}

Kilic, Erol ^{[2
]}

机构：

[1] Sivas Cumhuriyet Univ, Dept Design, TR-58140 Sivas, Turkey

[2] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey

来源：

FILOMAT | 2022年 / 36卷 / 08期

关键词：

metallic structure; metallic Riemannian manifold; semi-invariant submanifold; totally umbilicality;

D O I：

10.2298/FIL2208675G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain some classification theorems for totally umbilical semi-invariant submanifolds in locally decomposable metallic Riemannian manifolds. We also prove that there exist no totally umbilical proper semi-invariant submanifolds in a posivitely or negatively curved locally decomposable metallic Riemannian manifold.

引用

页码：2675 / 2686

页数：12

共 25 条

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