Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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.
Keywords
Subjects

Volume 40, Issue 5 - Serial Number 5
October 2014
Pages 1135-1151

  • Receive Date 18 September 2012
  • Revise Date 26 August 2013
  • Accept Date 26 August 2013