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http://dx.doi.org/10.5831/HMJ.2020.42.3.621

GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION  

Lee, Jae Won (Department of Mathematics Education and RINS, Gyeongsang National University)
Lee, Chul Woo (Department of Mathematics, Kyungpook National University)
Publication Information
Honam Mathematical Journal / v.42, no.3, 2020 , pp. 621-643 More about this Journal
Abstract
Depending on the characteristic vector filed ζ, a generic lightlike submanifold M in an indefinite Kaehler manifold ${\bar{M}}$ with a semi-symmetric metric connection has various characterizations. In this paper, when the characteristic vector filed ζ belongs to the screen distribution S(TM) of M, we provide some characterizations of (Lie-) recurrent generic lightlike submanifold M in an indefinite Kaehler manifold ${\bar{M}}$ with a semi-symmetric metric connection. Moreover, we characterize various generic lightlike submanifolds in an indefinite complex space form ${\bar{M}}$ (c) with a semi-symmetric metric connection.
Keywords
generic lightlike submanifold; semi-symmetric metric connection; indefinite Kaehler manifold; indefinite complex space form;
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