Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms
Küçük Resim Yok
Tarih
2014
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer International Publishing Ag
Erişim Hakkı
info:eu-repo/semantics/openAccess
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.
Açıklama
Anahtar Kelimeler
scalar curvature, mean curvature, Casorati curvature, shape operator, quaternionic space form, slant submanifold, optimal inequality
Kaynak
Journal of Inequalities and Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
