Screen Cauchy Riemann lightlike submanifolds
Articles > Article · 2005
Authors: KL Duggal, Bayram ŞAHİN
ACTA MATHEMATICA HUNGARICA, Journal Indexed in SCI Expanded, International, 2005, vol 106, pp 137-165
DOI: 10.1007/s10474-005-0011-7
Summary
We introduce a new class of lightlike submanifolds, namely, Screen Cauchy Riemann (SCR) lightlike submanifolds of indefinite Kaehler manifolds. Contrary to CR-lightlike submanifolds, we show that SCR-lightlike submanifolds include invariant (complex) and screen real subcases of lightlike submanifolds. We study some properties of proper totally umbilical SCR-lightlike submanifolds, their invariant (complex) and screen real subcases.