Characterization of Ricci almost soliton on Lorentzian manifolds

Y Li, HA Kumara, MS Siddesha, DM Naik - Symmetry, 2023 - mdpi.com
Ricci solitons (RS) have an extensive background in modern physics and are extensively
used in cosmology and general relativity. The focus of this work is to investigate Ricci almost …

On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space

Y Li, MK Gupta, S Sharma, SK Chaubey - Mathematics, 2023 - mdpi.com
The characterization of Finsler spaces with Ricci curvature is an ancient and cumbersome
one. In this paper, we have derived an expression of Ricci curvature for the homogeneous …

Framed natural mates of framed curves in Euclidean 3-space

Y Li, M Mak - Mathematics, 2023 - mdpi.com
In this study, we consider framed curves as regular or singular space curves with an adapted
frame in Euclidean 3-space. We define framed natural mates of a framed curve that are …

Harnack estimation for nonlinear, weighted, heat-type equation along geometric flow and applications

Y Li, S Bhattacharyya, S Azami, A Saha, SK Hui - Mathematics, 2023 - mdpi.com
The method of gradient estimation for the heat-type equation using the Harnack quantity is a
classical approach used for understanding the nature of the solution of these heat-type …

A hypersurfaces of revolution family in the five-dimensional pseudo-Euclidean space E 2 5

Y Li, E Güler - Mathematics, 2023 - mdpi.com
We present a family of hypersurfaces of revolution distinguished by four parameters in the
five-dimensional pseudo-Euclidean space E 2 5. The matrices corresponding to the …

Certain results on the lifts from an LP-Sasakian manifold to its tangent bundle associated with a quarter-symmetric metric connection

MNI Khan, F Mofarreh, A Haseeb, M Saxena - Symmetry, 2023 - mdpi.com
The purpose of this study is to examine the complete lifts from the symmetric and concircular
symmetric n-dimensional Lorentzian para-Sasakian manifolds (briefly,(LPS) n) to its tangent …

Kinematic-geometry of a line trajectory and the invariants of the axodes

Y Li, F Mofarreh, RA Abdel-Baky - Demonstratio Mathematica, 2023 - degruyter.com
In this article, we investigate the relationships between the instantaneous invariants of a one-
parameter spatial movement and the local invariants of the axodes. Specifically, we provide …

Geometric classifications of k-almost Ricci solitons admitting paracontact metrices

Y Li, DS Patra, N Alluhaibi, F Mofarreh, A Ali - Open Mathematics, 2023 - degruyter.com
The prime objective of the approach is to give geometric classifications of k-almost Ricci
solitons associated with paracontact manifolds. Let M 2 n+ 1 (φ, ξ, η, g) be a paracontact …

[HTML][HTML] Exploring Conformal Soliton Structures in Tangent Bundles with Ricci-Quarter Symmetric Metric Connections

Y Li, A Gezer, E Karakas - Mathematics, 2024 - mdpi.com
In this study, we investigate the tangent bundle TM of an n-dimensional (pseudo-)
Riemannian manifold M equipped with a Ricci-quarter symmetric metric connection∇˜. Our …

A note on incompressible vector fields

N Bin Turki - Symmetry, 2023 - mdpi.com
In this paper, we use incompressible vector fields for characterizing Killing vector fields. We
show that on a compact Riemannian manifold, a nontrivial incompressible vector field has a …