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2003•Journal of Hubei Institute for NationalitiesRequires access

CR - Submanifolds of a Complex Manifold

Mao Xiao

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Abstract

In this paper we study CR - submanifolds of a complex manifold using the method of the invariant form. First, we obtain the condition that a submanifold is a flat manifold or CR - product on the condition that peripheral space is a complex space form. Furthermore, we get the condition that its submanifold is holomorphic submanifold and space - like submanifold under the condition that peripheral manifold is indefinite complex space form.

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What this paper is about

In this paper we study CR - submanifolds of a complex manifold using the method of the invariant form. First, we obtain the condition that a submanifold is a flat manifold or CR - product on the condition that peripheral space is a complex space form. Furthermore, we get the condition that its submanifold is holomorphic submanifold and space - like submanifold under the condition that peripheral manifold is indefinite complex space form.

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Available abstract

In this paper we study CR - submanifolds of a complex manifold using the method of the invariant form. First, we obtain the condition that a submanifold is a flat manifold or CR - product on the condition that peripheral space is a complex space form. Furthermore, we get the condition that its submanifold is holomorphic submanifold and space - like submanifold under the condition that peripheral manifold is indefinite complex space form.

Key concepts: Submanifold, Manifold (fluid mechanics), Mathematics, Holomorphic function, Pure mathematics, Invariant manifold, Complex space, Space (punctuation)

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