Geometry of mixed geodesic warped product submanifolds in Kenmotsu space forms

Abstract

We study the mixed geodesic warped product pseudo-slant submanifolds in Kentmotsu space forms and derive some inequalities for such submanifolds. We construct examples for the existence of mixed geodesic warped product pseudo-slant submanifolds and verify the second fundamental inequality with examples. Moreover, we give some classifications in physical quantities such as Dirichlet energy, Laplacian, Hamiltonian, and eigenvalues of warping function in the compact support.