Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds

Hülya Aytimur, Mayuko Kon, Adela Mihai, Cihan Özgür and Kazuhiko Takano
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Hülya Aytimur: Department of Mathematics, Faculty of Arts and Sciences, Balikesir University, 10145 Balıkesir, Turkey
Mayuko Kon: Faculty of Education, Shinshu University, Nagano 380-8544, Japan
Adela Mihai: Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucuresti, Romania
Cihan Özgür: Department of Mathematics, Faculty of Arts and Sciences, Balikesir University, 10145 Balıkesir, Turkey
Kazuhiko Takano: Department of Mathematics, School of General Education, Shinshu University, Nagano 390-8621, Japan

Mathematics, 2019, vol. 7, issue 12, 1-19

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 ) .

Keywords: statistical manifolds; Kähler-like statistical manifolds; Chen inequalities (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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