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http://dx.doi.org/10.5831/HMJ.2021.43.2.239

SLANT LIGHTLIKE SUBMANIFOLDS OF INDEFINITE NEARLY KAEHLER MANIFOLDS  

Kumar, Tejinder (Department of Mathematics, Maharaja Agrasen University)
Kumar, Sangeet (Department of Mathematics, Sri Guru Teg Bahadur Khalsa College)
Kumar, Pankaj (Department of Mathematics, Maharaja Agrasen University)
Publication Information
Honam Mathematical Journal / v.43, no.2, 2021 , pp. 239-258 More about this Journal
Abstract
In the present paper, we introduce the study of slant lightlike submanifolds of indefinite nearly Kaehler manifolds. After proving some geometric results for the existence of slant lightlike submanifolds of indefinite nearly Kaehler manifolds, we give a non-trivial example of this class of lightlike submanifolds. Then, we derive some conditions for the integrability of the distributions associated with slant lightlike submanifolds of indefinite nearly Kaehler manifolds. Consequently, we study totally umbilical slant lightlike submanifolds of indefinite nearly Kaehler manifolds. Subsequently, we investigate minimal slant lightlike submanifolds of indefinite nearly Kaehler manifolds.
Keywords
Indefinite RK-manifold; totally umbilical lightlike submanifold; minimal lightlike submanifold;
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