SINGULAR THEOREMS FOR LIGHTLIKE SUBMANIFOLDS IN A SEMI-RIEMANNIAN SPACE FORM
نویسندگان
چکیده
منابع مشابه
Ascreen Lightlike Hypersurfaces of a Semi-riemannian Space Form with a Semi-symmetric Non-metric Connection
We study lightlike hypersurfaces of a semi-Riemannian space form M̃(c) admitting a semi-symmetric non-metric connection. First, we construct a type of lightlike hypersurfaces according to the form of the structure vector field of M̃(c), which is called a ascreen lightlike hypersurface. Next, we prove a characterization theorem for such an ascreen lightlike hypersurface endow with a totally geodes...
متن کاملA Semi-Riemannian Manifold of Quasi-Constant Curvature with Half Lightlike Submanifolds
In this paper, we study the geometry of a semi-Riemannian manifold M̄ of quasi-constant curvature. The main result is two characterization theorems for M̄ endowed with a statical, screen homothetic or screen totally umbilical half lightlike submanifold M . Mathematics Subject Classification: 53C25, 53C40, 53C50
متن کاملNull Sectional Curvature Pinching for Cr-lightlike Submanifolds of Semi-riemannian Manifolds
In this article we obtain the pinching of the null sectional curvature of CRlightlike submanifolds of an inde nite Hermitian manifold. As a result of this inequality we conclude some non-existence results of such lightlike submanifolds.Moreover using the Index form we prove more non-existence results for CR-lightlike submanifolds. 1. Introduction The theory of submanifolds of a Riemannian or se...
متن کاملA Semi-Riemannian Manifold of Quasi-Constant Curvature Admits Lightlike Submanifolds
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, we study the geometry of a semi-Riemannian manifold ¯ M of quasi-constant curvature. The main result is two characterization theorems for ¯ M admits solenoidal and screen totally umbilical r (> 1)-lightlike subm...
متن کاملA Semi-riemannian Manifold of Quasi-constant Curvature Admits Some Half Lightlike Submanifolds
In this paper, we study the curvature of a semi-Riemannian manifold M̃ of quasi-constant curvature admits some half lightlike submanifolds M . The main result is two characterization theorems for M̃ admits extended screen homothetic and statical half lightlike submanifolds M such that the curvature vector field of M̃ is tangent to M .
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: East Asian mathematical journal
سال: 2014
ISSN: 1226-6973
DOI: 10.7858/eamj.2014.027