Screen transversal cauchy riemann lightlike submanifolds
Makaleler > Tam Makale · 2020
Yazarlar: Burçin Doḡan, Bayram ŞAHİN, Erol Yaşar
FILOMAT, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2020, cilt 34, ss 1581-1599
DOI: 10.2298/FIL2005581D
Özet
We introduce a new class of lightlike submanifolds, namely, Screen Transversal Cauchy Riemann (STCR)-lightlike submanifolds, of indefinite Kähler manifolds. We show that this new class is an umbrella of screen transversal lightlike, screen transversal totally real lightlike and CR-lightlike submanifolds. We give a few examples of a STCR lightlike submanifold, investigate the integrability of various distributions, obtain a characterization of such lightlike submanifolds in a complex space form and find new conditions for the induced connection to be a metric connection. Moreover, we investigate the existence of totally umbilical (STCR)-lightlike submanifolds and minimal (STCR)-lightlike submanifolds. The paper also contains several examples.