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2017•Bulletin of the Korean Mathematical SocietyOpen access

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

Dae Ho Jin

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Abstract

We define a new connection on semi-Riemannian manifold, which is called a non-metric ${\phi}$ -symmetric connection. Semi-symmetric non-metric connection and quarter-symmetric non-metric connection are two impotent examples of this connection. The purpose of this paper is to study the geometry of lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric ${\phi}$ -symmetric connection.

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We define a new connection on semi-Riemannian manifold, which is called a non-metric ${\phi}$ -symmetric connection. Semi-symmetric non-metric connection and quarter-symmetric non-metric connection are two impotent examples of this connection. The purpose of this paper is to study the geometry of lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric ${\phi}$ -symmetric connection.

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Available abstract

We define a new connection on semi-Riemannian manifold, which is called a non-metric ${\phi}$ -symmetric connection. Semi-symmetric non-metric connection and quarter-symmetric non-metric connection are two impotent examples of this connection. The purpose of this paper is to study the geometry of lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric ${\phi}$ -symmetric connection.

Key concepts: Metric connection, Connection (principal bundle), Mathematics, Levi-Civita connection, Metric (unit), Fundamental theorem of Riemannian geometry, Manifold (fluid mechanics), Pure mathematics

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LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A NON-METRIC φ-SYMMETRIC CONNECTION — Research Paper | ScholarLens