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

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 decomposa...

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Veröffentlicht in:Filomat 2022, Vol.36 (8), p.2675-2686
Hauptverfasser: Gök, Mustafa, Kılıç, Erol
Format: Artikel
Sprache:eng
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Zusammenfassung: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
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2208675G