Inequalities for algebraic casorati curvatures and their applications II

Abstract

Different kind of algebraic Casorati curvatures are introduced. A result expressing basic Casorati inequalities for algebraic Casorati curvatures is presented and equality cases are discussed. As their applications, basic Casorati inequalities for different ƍ -Casorati curvatures for different kind of submanifolds of quaternionic space forms are presented.