Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms

---

Atıf İçin Kopyala

Slesar V., Sahin B., Vilcu G.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası:
• Basım Tarihi: 2014
• Doi Numarası: 10.1186/1029-242x-2014-123
• Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• İnönü Üniversitesi Adresli: Evet

Özet

In this paper we prove two sharp inequalities that relate the normalized scalar curvature with the Casorati curvature for a slant submanifold in a quaternionic space form. Moreover, we show that in both cases, the equality at all points characterizes the invariantly quasi-umbilical submanifolds.