Non existence of totally contact umbilical‎ ‎slant lightlike submanifolds of indefinite Sasakian manifolds

Document Type : Research Paper

Authors

1 School of Mathematics and Computer Applications, Thapar University, Patiala

2 University College of Engineering Punjabi University, Patiala

Abstract

‎We prove that there do not exist totally contact umbilical‎
‎proper slant lightlike submanifolds of indefinite Sasakian manifolds other than totally contact geodesic‎
‎proper slant lightlike submanifolds‎. ‎We also prove that there do‎
‎not exist totally contact umbilical proper slant lightlike‎
‎submanifolds of indefinite Sasakian space forms‎.

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