%0 Journal Article %T Non existence of totally contact umbilical‎ ‎slant lightlike submanifolds of indefinite Sasakian manifolds %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Sachdeva, R. %A Kumar, R. %A Singh Bhatia, S. %D 2014 %\ 10/01/2014 %V 40 %N 5 %P 1135-1151 %! Non existence of totally contact umbilical‎ ‎slant lightlike submanifolds of indefinite Sasakian manifolds %K Slant lightlike submanifolds‎ %K ‎totally contact‎ ‎umbilical lightlike submanifolds‎ %K ‎totally contact geodesic lightlike‎ ‎submanifolds‎ %K ‎indefinite Sasakian manifolds‎ %R %X ‎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. %U http://bims.iranjournals.ir/article_557_24ff97de6649946c62a7c349035161c9.pdf