Generic lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection

Dae Ho Jin

Department of Mathematics, Dongguk University, Gyeongju 780-714, Republic of Korea

Abstract: Recently, this author studied lightlike hypersurfaces of an indefinite Kaehler manifold endowed with a semi-symmetric non-metric connection in [7]. Further we study this subject. The object of study in this paper is generic lightlike submanifolds of an indefinite Kaehler manifold endowed with a semi-symmetric non-metric connection such that the induced structure tensor field on the submanifolds is recurrent or Lie recurrent.

Keywords: generic lightlike submanifold, semi-symmetric non-metric connection, indefinite Kaehler manifold.

UDC: 514.76, 514.77

MSC: 53C25, 53C40, 53C50

Received: 12.04.2018
Revised: 27.07.2018
Accepted: 27.09.2018

Language: English

DOI: 10.15393/j3.art.2018.4650

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