[HTML][HTML] Analyzing the Ricci Tensor for Slant Submanifolds in Locally Metallic Product Space Forms with a Semi-Symmetric Metric Connection

Y Li, M Aquib, MA Khan, I Al-Dayel, K Masood - Axioms, 2024 - mdpi.com
This article explores the Ricci tensor of slant submanifolds within locally metallic product
space forms equipped with a semi-symmetric metric connection (SSMC). Our investigation …

Recent advances in metallic Riemannian geometry: a comprehensive review

BY Chen, MA Choudhary, A Perween - arXiv preprint arXiv:2408.05318, 2024 - arxiv.org
Metallic structures, introduced by V. de Spinadel in 2002, opened a new avenue in
differential geometry. Building upon this concept, CE Hre\c {t} canu and M. Crasmareanu …

Solitons of η-Ricci–Bourguignon Type on Submanifolds in (LCS)m Manifolds

L Yan, Vandana, AN Siddiqui, HI Yoldas, Y Li - Symmetry, 2024 - mdpi.com
In this research article, we concentrate on the exploration of submanifolds in an (LCS) m-
manifold B˜. We examine these submanifolds in the context of two distinct vector fields …

[HTML][HTML] On Sequential Warped Products Whose Manifold Admits Gradient Schouten Harmonic Solitons

L Yan, Y Li, F Mofarreh, A Ali, P Laurian-Ioan - Mathematics, 2024 - mdpi.com
As part of our study, we investigate gradient Schouten harmonic solutions to sequential
warped product manifolds. The main contribution of our work is an explanation of how it is …

Eigenvalue of (p,q)-Biharmonic System along the Ricci Flow

L Yan, Y Li, A Saha, A Abolarinwa, S Ghosh, SK Hui - Axioms, 2024 - mdpi.com
Axioms | Free Full-Text | Eigenvalue of (p,q)-Biharmonic System along the Ricci Flow Next Article
in Journal Static Spherically Symmetric Perfect Fluid Solutions in Teleparallel F(T) Gravity …

Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold

L Yan, Y Li, L Bilen, A Gezer - Mathematics, 2024 - mdpi.com
Let (M,∇, g) be a statistical manifold and TM be its tangent bundle endowed with a twisted
Sasaki metric G. This paper serves two primary objectives. The first objective is to investigate …

[HTML][HTML] A DDVV Conjecture for Riemannian Maps

AN Siddiqui, F Mofarreh - Symmetry, 2024 - mdpi.com
The Wintgen inequality is a significant result in the field of differential geometry, specifically
related to the study of submanifolds in Riemannian manifolds. It was discovered by Pierre …

Semi-Symmetric Metric Connections and Homology of CR-Warped Product Submanifolds in a Complex Space Form Admitting a Concurrent Vector Field

MA Khan, I Al-Dayel, SK Chaubey - Symmetry, 2024 - mdpi.com
In this paper, we conduct a thorough study of CR-warped product submanifolds in a Kaehler
manifold, utilizing a semi-symmetric metric connection within the framework of warped …

Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor

MD Siddiqi, R Bossly - Axioms, 2024 - mdpi.com
In this article, we study the Ricci soliton on slant submanifolds of trans-Sasakian manifolds
with a quarter symmetric non-metric connection. Moreover, we derive a lower-bound-type …

Dual Cartan numbers and pseudo‐null lines

İ Öztürk - Mathematical Methods in the Applied Sciences, 2025 - Wiley Online Library
The study aims to introduce some geometric properties of dual Cartan numbers. Since a unit
timelike Cartan number with lightlike vector part corresponds to a parabolic rotation around …