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Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds

Author

Listed:
  • Hülya Aytimur

    (Department of Mathematics, Faculty of Arts and Sciences, Balikesir University, 10145 Balıkesir, Turkey
    These authors contributed equally to this work.)

  • Mayuko Kon

    (Faculty of Education, Shinshu University, Nagano 380-8544, Japan
    These authors contributed equally to this work.)

  • Adela Mihai

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

  • Cihan Özgür

    (Department of Mathematics, Faculty of Arts and Sciences, Balikesir University, 10145 Balıkesir, Turkey
    These authors contributed equally to this work.)

  • Kazuhiko Takano

    (Department of Mathematics, School of General Education, Shinshu University, Nagano 390-8621, Japan
    These authors contributed equally to this work.)

Abstract

We consider Kähler-like statistical manifolds, whose curvature tensor field satisfies a natural condition. For their statistical submanifolds, we prove a Chen first inequality and a Chen inequality for the invariant δ ( 2 , 2 ) .

Suggested Citation

  • Hülya Aytimur & Mayuko Kon & Adela Mihai & Cihan Özgür & Kazuhiko Takano, 2019. "Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds," Mathematics, MDPI, vol. 7(12), pages 1-19, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1202-:d:295590
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    References listed on IDEAS

    as
    1. Paul Vos, 1989. "Fundamental equations for statistical submanifolds with applications to the Bartlett correction," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(3), pages 429-450, September.
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