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http://dx.doi.org/10.4134/CKMS.c170033

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

Jin, Dae Ho (Department of Mathematics Dongguk University)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.4, 2017 , pp. 1047-1065 More about this Journal
Abstract
The notion of a non-metric ${\phi}$-symmetric connection on semi-Riemannian manifolds was introduced by Jin [6, 7]. The object of study in this paper is generic lightlike submanifolds of an indefinite Kaehler manifold ${\bar{M}}$ with a non-metric ${\phi}$-symmetric connection. First, we provide several new results for such generic lightlike submanifolds. Next, we investigate generic lightlike submanifolds of an indefinite complex space form ${\bar{M}}(c)$ with a non-metric ${\phi}$-symmetric connection.
Keywords
non-metric ${\phi}$-symmetric connection; generic lightlike submanifold; indefinite Kaehler structure;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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