Pseudo-slant submanifolds in cosymplectic space forms

Abstract

In this paper, we study the geometry of the pseudo-slant submanifolds of a cosymplectic space form. Necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, pseudo-slant product, mixed geodesic and totally geodesic in cosymplectic manifolds. Finally, we give some results for totally umbilical pseudo-slant submanifold in a cosymplectic manifold and cosymplectic space form.

Keywords

• cosymplectic manifold
• cosymplectic space form
• pseudo-slant submanifold
• 53c15
• 53c25
• 53c17
• 53d15
• 53d10