%0 Journal Article %T Inequalities for algebraic Casorati curvatures and their applications %A Mukut Mani Tripathi %J - %D 2017 %R DOI Code: 10.1285/i15900932v37suppl1p161 %X The notion of different kind of algebraic Casorati curvatures are introduced. Some results expressing basic Casorati inequalities for algebraic Casorati curvatures are presented. Equality cases are also discussed. As a simple application, basic Casorati inequalities for different ¦Ä-Casorati curvatures for Riemannian submanifolds are presented. Further applying these results, Casorati inequalities for Riemannian submanifolds of real space forms are obtained. Finally, some problems are presented for further studies %K Casorati curvature %K algebraic Casorati curvature %K Casorati inequalities %K real space form %U http://siba-ese.unisalento.it/index.php/notemat/article/view/17181