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Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds [PDF]

open access: yesMathematics, 2019
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 ) .
Hülya Aytimur, Mayuko Kon, Adela Mihai
exaly   +4 more sources

B.-Y. Chen's Inequality for Kähler-like Statistical Submersions

International Electronic Journal of Geometry, 2022
In this paper, we first define the notion of Lagrangian statistical submersion from a K\"ahler-like statistical manifold onto a statistical manifold. Then we prove that the horizontal distribution of a Lagrangian statistical submersion is integrable.
Aliya Naaz Sıddıquı   +2 more
openaire   +2 more sources

Chen’s first inequality for Riemannian maps

Annales Polonici Mathematici, 2016
Summary: We obtain a basic Chen inequality for Riemannian maps between Riemannian manifolds.
exaly   +5 more sources

SLANT IMMERSIONS OF COMPLEX SPACE FORMS AND CHEN'S INEQUALITY

Acta Mathematica Scientia, 2005
The authors present some results about slant submanifolds.
Li, Guanghan, Wu, Chuanxi
exaly   +3 more sources

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