Multiply Warped Product Generalized Semi-Invariant Submanifolds

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Traore M., TAŞTAN H. M., GERDAN AYDIN S.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.14, no.2, pp.313-330, 2021 (ESCI)

• Publication Type: Article / Article
• Volume: 14 Issue: 2
• Publication Date: 2021
• Doi Number: 10.36890/iejg.845483
• Journal Name: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
• Page Numbers: pp.313-330
• Open Archive Collection: AVESIS Open Access Collection
• Istanbul University Affiliated: Yes

Abstract

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.