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Submanifolds in Normal Complex Contact Manifolds

Author

Listed:
  • Adela Mihai

    (Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania
    These authors contributed equally to this work.)

  • Ion Mihai

    (Department of Mathematics, University of Bucharest, 010014 Bucharest, Romania
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Adela Mihai & Ion Mihai, 2019. "Submanifolds in Normal Complex Contact Manifolds," Mathematics, MDPI, vol. 7(12), pages 1-11, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1195-:d:294682
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