Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds
Makaleler > Tam Makale · 2006
Yazarlar: K. L. Duggal, Bayram ŞAHİN
ACTA MATHEMATICA HUNGARICA, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2006, cilt 112, ss 107-130
DOI: 10.1007/s10474-006-0068-y
Özet
We introduce a class of submanifolds, namely, Generalized Cauchy-Riemann (GCR) lightlike submanifolds of indefinite Kaehler manifolds. We show that this new class is an umbrella of invariant (complex), screen real [8] and CR lightlike [6] submanifolds. We study the existence (or non-existence) of this new class in an indefinite space form. Then, we prove characterization theorems on the existence of totally umbilical, irrotational screen real, complex and CR minimal lightlike submanifolds. We also give one example each of a non totally geodesic proper minimal GCR and CR lightlike submanifolds.