Submanifolds in Normal Complex Contact Manifolds

Adela Mihai and Ion Mihai
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Adela Mihai: Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania
Ion Mihai: Department of Mathematics, University of Bucharest, 010014 Bucharest, Romania

Mathematics, 2019, vol. 7, issue 12, 1-11

Abstract: 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.

Keywords: normal complex contact space forms; submanifolds; ? -invariants (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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