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Submanifolds in Normal Complex Contact Manifolds
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In the present article we initiate the study of submanifolds in normal complex contact metric manifolds. We define invariant and anti-invariant ( C C -totally real) submanifolds in such manifolds and start the study of their basic properties. Also, we establish the Chen first inequality and Chen inequality for the invariant δ ( 2 , 2 ) for C C -totally real submanifolds in a normal complex contact space form and characterize the equality cases. We also prove the minimality of C C -totally real submanifolds of maximum dimension satisfying the equalities.
Title: Submanifolds in Normal Complex Contact Manifolds
Description:
In the present article we initiate the study of submanifolds in normal complex contact metric manifolds.
We define invariant and anti-invariant ( C C -totally real) submanifolds in such manifolds and start the study of their basic properties.
Also, we establish the Chen first inequality and Chen inequality for the invariant δ ( 2 , 2 ) for C C -totally real submanifolds in a normal complex contact space form and characterize the equality cases.
We also prove the minimality of C C -totally real submanifolds of maximum dimension satisfying the equalities.
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