Geodesic
Totally umbilical semi-invariant submanifolds in locally decomposable metallic Riemannian manifolds
Filomat, Tome 36 (2022) no. 8, p. 2675

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DOI

In this paper, we obtain some classification theorems for totally umbilical semi-invariant sub-manifolds 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.
DOI : 10.2298/FIL2208675G
Classification : 53C15, 53C25, 53C40
Keywords: metallic structure, metallic Riemannian manifold, semi-invariant submanifold, totally umbilicality 
Mustafa Gök; Erol Kılıç. Totally umbilical semi-invariant submanifolds in locally decomposable metallic Riemannian manifolds. Filomat, Tome 36 (2022) no. 8, p. 2675 . doi: 10.2298/FIL2208675G
@article{10_2298_FIL2208675G,
     author = {Mustafa G\"ok and Erol K{\i}l{\i}\c{c}},
     title = {Totally umbilical semi-invariant submanifolds in locally decomposable metallic {Riemannian} manifolds},
     journal = {Filomat},
     pages = {2675 },
     year = {2022},
     volume = {36},
     number = {8},
     doi = {10.2298/FIL2208675G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2208675G/}
}
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