Totally umbilical semi-invariant submanifolds in locally decomposable metallic Riemannian manifolds

Author:

Gök Mustafa1,Kılıç Erol2

Affiliation:

1. Department of Design, Sivas Cumhuriyet University, Sivas, Turkey

2. Department of Mathematics, İnönü University, Malatya, Turkey

Abstract

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

Publisher

National Library of Serbia

Subject

General Mathematics

Reference32 articles.

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3. C. L. Bejan, Almost semi-invariant submanifolds of locally product Riemannian manifolds, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 32 (80) (1988) 3-9.

4. A. Bejancu, CR submanifolds of a Kaehler manifold. I, Proc. Amer. Math. Soc. 69 (1978) 135-142.

5. A. Bejancu, Semi-invariant submanifolds of locally product Riemannian manifolds, Ann. Univ. Timisoara S. Math. 22 (1984) 3-11.

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1. A Note on Invariant Submanifolds of Metallic Riemannian Manifolds;Turkish Journal of Mathematics and Computer Science;2023-06-30

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