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A Review on Unique Existence Theorems in Lightlike Geometry
Author(s) -
K. L. Duggal
Publication year - 2014
Publication title -
geometry
Language(s) - English
Resource type - Journals
eISSN - 2314-4238
pISSN - 2314-422X
DOI - 10.1155/2014/835394
Subject(s) - scalar curvature , connection (principal bundle) , variety (cybernetics) , curvature of riemannian manifolds , riemann curvature tensor , curvature , ricci curvature
This is a review paper of up-to-date research done on the existence of unique null curves, screen distributions, Levi-Civita connection, symmetric Ricci tensor, and scalar curvature for a large variety of lightlike submanifolds of semi-Riemannian (in particular, Lorentzian) manifolds, supported by examples and an extensive bibliography. We also propose some open problems

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