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Inequalities for submanifolds in statistical manifolds of quasi-constant curvature

Volume 121 / 2018

Hülya Aytimur, Cihan Özgür Annales Polonici Mathematici 121 (2018), 197-215 MSC: Primary 53C40; Secondary 53B05, 53B15, 53C05, 53A40. DOI: 10.4064/ap171106-27-6 Published online: 31 October 2018

Abstract

We obtain inequalities for statistical submanifolds of a statistical manifold of quasi-constant curvature. We also obtain the Chen–Ricci inequality and the generalized Wintgen inequality for this type of submanifolds.

Authors

  • Hülya AytimurDepartment of Mathematics
    Balıkesir University
    10145 Balıkesir, Turkey
    e-mail
  • Cihan ÖzgürDepartment of Mathematics
    Balıkesir University
    10145 Balıkesir, Turkey
    e-mail

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