Locally product-like statistical manifolds and their hypersurfaces

E Erkan, K Takano, M Gülbahar - International Electronic Journal of …, 2023 - dergipark.org.tr
In this paper, almost product-like Riemannian manifolds are investigated. Basic properties
on tangential hypersurfaces of almost product-like Riemannian manifolds are obtained …

Main curvatures identities on lightlike hypersurfaces of statistical manifolds and their characterizations

O Bahadır, AN Siddiqui, M Gülbahar, AH Alkhaldi - Mathematics, 2022 - mdpi.com
In this study, some identities involving the Riemannian curvature invariants are presented on
lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several …

Locally product-like statistical submersions

K Takano, E Erkan… - Turkish Journal of …, 2023 - journals.tubitak.gov.tr
In this paper, the main identities on locally product-like statistical submersions are obtained
with the aid of statistical structures and their Riemannian curvature tensors. Some examples …

On lightlike geometry of indefinite Sasakian statistical manifolds

O Bahadır - arXiv preprint arXiv:2004.01512, 2020 - arxiv.org
In this study, we introduce indefinite sasakian statistical manifolds and lightlike
hypersurfaces of an indefinite sasakian statistical manifold. Some relations among induced …

The cosymplectic statistical structures of constant ϕ-sectional curvature on cosymplectic space forms

M Yan, X Wu, L Zhang - Journal of Geometry and Physics, 2024 - Elsevier
In this paper, we study the cosymplectic statistical structures of constant ϕ-sectional
curvature based on cosymplectic space forms. For higher than 3-dimensional cosymplectic …

Statistical Submersions with Parallel Almost Complex Structures

K Takano, S Kazan - Mediterranean Journal of Mathematics, 2024 - Springer
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 …

Some results on Kenmotsu statistical manifolds

Y Jıang, F Wu, L Zhang - Hacettepe Journal of Mathematics and …, 2022 - dergipark.org.tr
In this paper, we first investigate the Kenmotsu statistical structures built on a Kenmotsu
space form and determine some special Kenmotsu statistical structures under two curvature …

The Translation Surfaces on Statistical Manifolds with Normal Distribution

S Sevim, C Murathan - International Electronic Journal of Geometry, 2024 - dergipark.org.tr
In this paper, we will investigate translation surfaces on statistical manifolds. Statistical
manifolds are mathematical structures that describe the geometric properties of statistical …

[PDF][PDF] Optimization methods to statistical submanifolds in statistical warped product manifolds

AN Siddiquia, F Mofarrehb, AH Alkhaldic, A Alic - Filomat, 2024 - pmf.ni.ac.rs
This research paper strives to address the utilization of an optimization technique on
submanifolds. Specifically, it explores the concept of treating geometric inequalities as …

[PDF][PDF] Tangential real hypersurfaces on Hermite-like manifolds

E Erkan, M Gülbahar - arXiv preprint arXiv:2209.00973, 2022 - academia.edu
Non-degenerate real hypersurfaces of almost Hermite-like manifolds are examined.
Tangential real hypersurfaces are introduced and the main identities of such hypersurfaces …