Filomat 2022 Volume 36, Issue 8, Pages: 2675-2686
https://doi.org/10.2298/FIL2208675G
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Totally umbilical semi-invariant submanifolds in locally decomposable metallic Riemannian manifolds
Gök Mustafa (Department of Design, Sivas Cumhuriyet University, Sivas, Turkey), mustafa.gok@ail.com
Kılıç Erol (Department of Mathematics, İnönü University, Malatya, Turkey), erol.kilic@inonu.edu.tr
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
Keywords: metallic structure, metallic Riemannian manifold, semi-invariant submanifold, totally umbilicality
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