Multiply Warped Product Generalized Semi-Invariant Submanifolds

Multiply Warped Product Generalized Semi-Invariant Submanifolds

We define generalized semi-invariant submanifolds in locally product Riemannian manifolds. Then we study multiply warped product generalized semi-invariant submanifolds in the same structure. We give an existence theorem for such submanifolds. We also give necessary and sufficient conditions for suc...

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Veröffentlicht in:International Electronic Journal of Geometry 2021-10, Vol.14 (2), p.313-330
Hauptverfasser: Traore, Moctar, Taştan, Hakan Mete, Gerdan Aydın, Sibel
Format: Artikel
Sprache:eng
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Zusammenfassung:We define generalized semi-invariant submanifolds in locally product Riemannian manifolds. Then we study multiply warped product generalized semi-invariant submanifolds in the same structure. We give an existence theorem for such submanifolds. We also give necessary and sufficient conditions for such a submanifold to be a multiply direct product submanifold. Moreover, we establish a general inequality for such submanifolds.
ISSN:1307-5624
1307-5624
DOI:10.36890/iejg.845483