Warped product pointwise semi-slant submanifolds of cosymplectic space forms and their applications

Abstract

In this paper some characterizations for the existence of warped product pointwise semi-slant submanifolds of cosymplectic space forms are obtained. Moreover, a sharp estimate for the squared norm of the second fundamental form is investigated, the equality case is also discussed. By the application of derived inequality, we compute an expression for Dirichlet energy of the involved warping function. Finally, we also proved some classifications for these warped product submanifolds in terms of Ricci solitons and Ricci curvature. A non-trivial example of these warped product submanifolds is provided.

Keywords

• Semi-slant product
• Pointwise slant submanifolds
• Cosymplectic space form
• Dirichlet energy
• Ricci soliton
• Ricci curvature