non existence of totally contact umbilical slant lightlike submanifolds of indefinite sasakian manifolds
نویسندگان
چکیده
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.
منابع مشابه
Non existence of totally contact umbilical slant lightlike submanifolds of indefinite Sasakian manifolds
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.
متن کاملGeodesic Lightlike Submanifolds of Indefinite Sasakian Manifolds
In this paper, we study geodesic contact CR-lightlike submanifolds and geodesic screen CR-lightlike (SCR) submanifolds of indefinite Sasakian manifolds. Some necessary and sufficient conditions for totally geodesic, mixed geodesic, D -geodesic and -geodesic contact CR-lightlike submanifolds and SCR submanifolds are obtained. D
متن کاملLightlike Submanifolds of Indefinite Sasakian Manifolds
We first prove some results on invariant lightlike submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions. We also study a class, namely, contact screen Cauchy-Riemann (SCR) lightlike submanifolds which include invariant and screen real subcases. Finally, we ...
متن کاملRadical Transversal Lightlike Submanifolds of Indefinite Para-sasakian Manifolds
In this paper, we study radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds giving some non-trivial examples of these submanifolds. Integrability conditions of distributions D and RadTM on radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite pa...
متن کاملScreen Pseudo-slant Lightlike Submanifolds of Indefinite Kaehler Manifolds
In this paper we introduce the notion of screen pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D1, D2 and RadTM on screen pseudo-slant lightlike submanifolds of an indefinite Kaehler manifold have been obtained. Further, we obtain necessary and suff...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 40
شماره 5 2014
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023