INEQUALITIES INVOLVING k-CHEN INVARIANTS FOR SUBMANIFOLDS OF RIEMANNIAN PRODUCT MANIFOLDS
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.68, sa.1, ss.466-483, 2019 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 68 Sayı: 1
- Basım Tarihi: 2019
- Doi Numarası: 10.31801/cfsuasmas.430856
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.466-483
- İnönü Üniversitesi Adresli: Evet
Özet
An optimal inequality involving the scalar curvatures, the mean curvature and the k-Chen invariant is established for Riemannian submanifolds. Particular cases of this inequality is reported. Furthermore, this inequality is investigated on submanifolds, namely slant, F-invariant and F-anti invariant submanifolds of an almost constant curvature manifold.