LAUSR

Sasakian statistical manifolds

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0 Published in 2017 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2017.03.010

Abstract: This article is a digest of [2, 3] with additional remarks on invariant submanifolds of Sasakian statistical manifolds. read more here.

Keywords: sasakian statistical; geometry; statistical manifolds;

On Almost Norden Statistical Manifolds

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1 Published in 2022 at "Entropy"

DOI: 10.3390/e24060758

Abstract: We consider a statistical connection ∇ on an almost complex manifold with (pseudo-) Riemannian metric, in particular the Norden metric. We investigate almost Norden (statistical) manifolds under the condition that the almost complex structure J… read more here.

Keywords: norden statistical; almost norden; statistical manifolds;

Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection

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1 Published in 2022 at "Entropy"

DOI: 10.3390/e24060800

Abstract: In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely the normalized δ-Casorati curvatures and the scalar curvature of statistical submanifolds in Kenmotsu statistical manifolds of constant ϕ-sectional curvature that are… read more here.

Keywords: kenmotsu statistical; statistical submanifolds; submanifolds kenmotsu; statistical manifolds ... See more keywords