Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms
Articles > Article · 2014
Authors: Vladimir Slesar, Bayram ŞAHİN, Gabriel Eduard Vîlcu
JOURNAL OF INEQUALITIES AND APPLICATIONS, Journal Indexed in SCI Expanded, International, Scopus, 2014, vol 2014, pp 123-123
DOI: 10.1186/1029-242X-2014-123
Summary
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. © 2014 Slesar et al.; licensee Springer.