Hemi-Slant Lightlike Submanifolds of Indefinite Kenmotsu Manifolds

Abstract EN

We introduce and study hemi-slant lightlike submanifolds of an indefinite Kenmotsu manifold.

We give an example of hemi-slant lightlike submanifold and establish two characterization theorems for the existence of such submanifolds.

We prove some theorems which ensure the existence of minimal hemi-slant lightlike submanifolds and obtain a condition under which the induced connection ∇ on M is a metric connection.

An example of proper minimal hemi-slant lightlike submanifolds is also given.