TY - JOUR T1 - Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds AU - Jain, Varun AU - Kumar, Rakesh AU - Kumar Nagaich, Rakesh PY - 2015 DA - February JF - Hacettepe Journal of Mathematics and Statistics PB - Hacettepe University WT - DergiPark SN - 2651-477X SP - 83 EP - 91 VL - 44 IS - 1 LA - en AB - In present paper, after finding the conditions for the integrability ofvarious distributions of a GCR-lightlike submanifold of indefinite Kenmotsu manifolds, we prove that there do not exist totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifoldsother than totally contact geodesic GCR-lightlike submanifolds andmoreover it is a totally geodesic GCR-lightlike submanifold. KW - Indefinite Kenmotsu manifolds KW - GCR-lightlike submanifolds KW - totally contact umbilical GCR-lightlike submanifolds CR - . . . UR - https://dergipark.org.tr/en/pub/hujms/issue//524341 L1 - https://dergipark.org.tr/en/download/article-file/644717 ER -