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


Slesar V., Sahin B., Vilcu G.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1186/1029-242x-2014-123
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS

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.