Anti-invariant ξ⊥-cosymplectic-like statistical submersions

Kazan, Sema

doi:10.2298/tsci2204991k

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2024

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Cited by 3 publications

(1 citation statement)

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“…Later on, this theory found applications in various areas of geometry as almost-contact geometry, [1], [22], [35], [47] , Hermitian-Kaehler geometry, [2], [21], [42], [43]. [55], [64], almost Norden manifolds [51], almost paracontact geometry [13], submersions [11], [36], [60] [61] [62] and Hessian geometry [29].…”

Section: Introductionmentioning

confidence: 99%

The Translation Surfaces on Statistical Manifolds with Normal Distribution

Sevim,

Murathan

2024

International Electronic Journal of Geometry

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Section: Introductionmentioning

confidence: 99%

The Translation Surfaces on Statistical Manifolds with Normal Distribution

Sevim,

Murathan

2024

International Electronic Journal of Geometry

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Statistical Submersions with Parallel Almost Complex Structures

Takano,

Kazan

2024

Mediterr. J. Math.

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The aim of the present paper is to study statistical submersions with parallel almost complex structures. First, we define the notion of the generalized Kähler-like statistical submersion and give examples of the Kähler-like statistical submersions. In addition, we investigate total space and fibers under certain conditions. After, we introduce some results on J-invariant, $$J^{*}$$ J ∗ -invariant and anti-invariant generalized Kähler-like statistical submersions.

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Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds

AKSU,

GÜLBAHAR

2023

Journal of New Theory

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Hermite-like manifolds, which admit two different, almost complex structures, can be considered a general concept of Hermitian manifolds. Factoring in the effects of these two complex structures on the radical, screen, and transversal spaces, a new classification of lightlike hypersurfaces of Hermite-like manifolds is proposed in the present paper. Moreover, an example of screen semi-invariant lightlike hypersurfaces of Hermite-like manifolds is provided. Besides, some results on these hypersurfaces admitting a statistical structure are obtained. Further, screen semi-invariant lightlike hypersurfaces are investigated on Kaehler-like statistical manifolds. In addition, several characteristics of totally geodesic, mixed geodesic, and totally umbilical screen lightlike hypersurfaces are obtained. Finally, the need for further research is discussed.

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Anti-invariant ξ⊥-cosymplectic-like statistical submersions

Abstract: Our purpose in this article is to study anti-invariant ??-cosymplectic-like statistical submersions from cosymplectic-like statistical manifolds and an example. Also, we investigate the integrability and the totally geodesicness of the distributions and the geometry of foliations.

Cited by 3 publications

References 32 publications

The Translation Surfaces on Statistical Manifolds with Normal Distribution

The Translation Surfaces on Statistical Manifolds with Normal Distribution

Statistical Submersions with Parallel Almost Complex Structures

Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds

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