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Submanifolds in Normal Complex Contact Manifolds
Open AccessArticle

Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds

by Hülya Aytimur 1,†, Mayuko Kon 2,†, Adela Mihai 3,*,†, Cihan Özgür 1,† and Kazuhiko Takano 4,†
1
Department of Mathematics, Faculty of Arts and Sciences, Balikesir University, 10145 Balıkesir, Turkey
2
Faculty of Education, Shinshu University, Nagano 380-8544, Japan
3
Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucuresti, Romania
4
Department of Mathematics, School of General Education, Shinshu University, Nagano 390-8621, Japan
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2019, 7(12), 1202; https://doi.org/10.3390/math7121202
Received: 18 October 2019 / Revised: 17 November 2019 / Accepted: 24 November 2019 / Published: 8 December 2019
(This article belongs to the Special Issue Complex and Contact Manifolds)
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 ) . View Full-Text
Keywords: statistical manifolds; Kähler-like statistical manifolds; Chen inequalities statistical manifolds; Kähler-like statistical manifolds; Chen inequalities
MDPI and ACS Style

Aytimur, H.; Kon, M.; Mihai, A.; Özgür, C.; Takano, K. Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds. Mathematics 2019, 7, 1202.

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