Multiply Warped Product Generalized Semi-Invariant Submanifolds

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

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.14, sa.2, ss.313-330, 2021 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 14 Sayı: 2
• Basım Tarihi: 2021
• Doi Numarası: 10.36890/iejg.845483
• Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.313-330
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• İstanbul Üniversitesi Adresli: Evet

Özet

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.