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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.19 No.3

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LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.3, pp.211-228
https://doi.org/10.7468/jksmeb.2012.19.3.211
Jin, Dae-Ho
Jin,, D. (2012). LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 19(3), 211-228, https://doi.org/10.7468/jksmeb.2012.19.3.211

Abstract

We study lightlike submanifolds M of a semi-Riemannian manifold <TEX>$\bar{M}$</TEX> with a semi-symmetric non-metric connection subject to the conditions; (a) the characteristic vector field of <TEX>$\bar{M}$</TEX> is tangent to M, (b) the screen distribution on M is totally umbilical in M and (c) the co-screen distribution on M is conformal Killing.

keywords
totally umbilical, conformal Killing distribution, irrotational, semi-Riemannian manifold with a semi-symmetric non-metric connection

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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