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Lightlike submanifolds of an indefinite Sasakian manifold with a non-metric θ-connection

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In this paper, we study two types of 1-lightlike submanifolds, namedby lightlike hypersurface and half lightlike submanifold, of an indefinite Sasakianmanifold admitting non-metric θ-connections. We prove that there exist no suchtwo types of 1-lightlike submanifolds of an inde¯nite Sasakian manifold.

Abstract

In this paper, we study two types of 1-lightlike submanifolds, namedby lightlike hypersurface and half lightlike submanifold, of an indefinite Sasakianmanifold admitting non-metric θ-connections. We prove that there exist no suchtwo types of 1-lightlike submanifolds of an inde¯nite Sasakian manifold.

참고문헌 (17)

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  11. 진대호, "LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION", 순수 및 응용수학, 19(3), pp.211~228 (2012), 한국수학교육학회[DOI]
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  14. 진대호, "A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection", 대한수학회보, 50(3), pp.705~717 (2013), 대한수학회
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