Einstein half lightlike submanifolds of a Lorentzian space form with a semi-symmetric metric connection

Abstract

In this paper, we prove a classification theorem for Einstein half lightlike sbmanifolds M of a Lorentzian space form (M (c), g) of constant curvature c equipped with a semi-symmetric metric connection subject such that the second fundamental forms of M and its screen distribution S(TM) are conformally related by some non-zero constant and the canonical normal vector field of M is conformal Killing one.

Mathematics Subject Classification (2010):

• 53C25
• 53C40
• 53C50

Keywords:

• Einstein manifold
• Lorentzian space form
• semi-symmetric metric connection
• screen homothetic
• conformal Killing vector field

View correction statement:

Correction