Half lightlike submanifolds of a semi-Riemannian manifold of quasi-constant curvature | Zendy

Dae Ho Jin | Zendy; Jae Lee | Zendy

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Half lightlike submanifolds of a semi-Riemannian manifold of quasi-constant curvature

Author(s) -

Dae Ho Jin,

Jae 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.

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