Relations between Extrinsic and Intrinsic Invariants of Statistical Submanifolds in Sasaki-Like Statistical Manifolds

The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained.

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Bibliographic Details
Published inMathematics (Basel) Vol. 9; no. 11; p. 1285
Main Authors Aytimur, Hülya, Mihai, Adela, Özgür, Cihan
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2021
Subjects
Chen inequality
Geometry
Inequality
Invariants
Manifolds (mathematics)
Mathematics
Sasaki-like statistical manifold
submanifold
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Summary:The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9111285