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On Chen invariants and inequalities in quaternionic geometry [PDF]

open access: yesJournal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gabriel-Eduard Vilcu   +1 more
exaly   +2 more sources
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Chen inequalities on spacelike hypersurfaces of a GRW spacetime

Differential Geometry and Its Applications, 2022
A generalized Robertson-Walker (GRW) spacetime is defined as the warped product \(L^{n+1}(c, f ) = I \times_f F\), where \(I\subset R\) is an interval with the metric \(-dt^2\) and \(F\) is an \(n\)-dimensional Riemannian manifold. In this paper, the author establishes some Chen-like inequalities for space-like hypersurfaces in GRW spacetimes and ...
Nergiz Poyraz
exaly   +2 more sources

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 ) .
Mayuko Kon, Cihan Özgur, 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

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