Conformal-twisted product semi-slant submanifolds in globally conformal Kaehler manifolds
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.50, sa.4, ss.1028-1046, 2021 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 4
- Basım Tarihi: 2021
- Doi Numarası: 10.15672/hujms.801651
- Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1028-1046
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Üniversitesi Adresli: Evet
Özet
We introduce the notion of conformal-twisted product submanifolds of the form M-f(T) x M-b(theta) and M-f(theta) x M-b(T), where M-T is a holomorphic submanifold and M-theta is a proper slant submanifold of M in a globally conformal Kaehler manifold and f and b are conformal factor and twisting function, respectively. We give necessary and sufficient conditions for proper semi-slant submanifold to be a locally conformal-twisted product for such submanifolds of the form M-f(T) x M-b(theta) and M-f(theta) x M-b(T). We establish a general inequality for the squared norm of second fundamental form of these types of submanifolds.