1974•Transactions of the American Mathematical SocietyRequires access

On totally real submanifolds

Bang‐Yen Chen, Koichi Ogiue

Open publisher page 296 citations

Abstract

Complex analytic submanifolds and totally real submanifolds are two typical classes among all submanifolds of an almost Hermitian manifold. In this paper, some characterizations of totally real submanifolds are given. Moreover some classifications of totally real submanifolds in complex space forms are obtained.

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Complex analytic submanifolds and totally real submanifolds are two typical classes among all submanifolds of an almost Hermitian manifold. In this paper, some characterizations of totally real submanifolds are given. Moreover some classifications of totally real submanifolds in complex space forms are obtained.

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OpenAlex reports 296 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Complex analytic submanifolds and totally real submanifolds are two typical classes among all submanifolds of an almost Hermitian manifold. In this paper, some characterizations of totally real submanifolds are given. Moreover some classifications of totally real submanifolds in complex space forms are obtained.

Key concepts: Mathematics, Pure mathematics, Hermitian matrix, Complex space, Manifold (fluid mechanics), Real number, Space (punctuation), Mathematical analysis

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