摘要

In this paper we give a new proof for two sharp inequalities involving generalized normalized delta-Casorati curvatures of a slant submanifold in a quaternionic space form. These inequalities were recently obtained in Lee and Vilcu (Taiwan. J. Math. 19(3): 691-702, 2015) using an optimization procedure by showing that a quadratic polynomial in the components of the second fundamental form is parabolic. The new proof is obtained analyzing a suitable constrained extremum problem on submanifold.

  • 出版日期2015-10-6