Open AccessHalf lightlike submanifolds of a semi-Riemannian manifold of quasi-constant curvature
Author(s) -
Dae Ho Jin,
Jae Won Lee
Publication year - 2016
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1607737j
Subject(s) - mathematics , constant curvature , conformal map , distribution (mathematics) , curvature , totally geodesic , riemannian manifold , constant (computer programming) , tangent , manifold (fluid mechanics) , mathematical analysis , sectional curvature , geodesic , vector field , geometry , pure mathematics , scalar curvature , mechanical engineering , computer science , engineering , programming language
We study the geometry of half lightlike submanifolds (M,g,S(TM), S(TM?)) of a semi-Riemannian manifold (M~,g~) of quasi-constant curvature subject to the following conditions; (1) the curvature vector field ? of M~ is tangent to M, (2) the screen distribution S(TM) of M is either totally geodesic or totally umbilical in M, and (3) the co-screen distribution S(TM?) of M is a conformal Killing distribution.