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 …

Ricci soliton of CR-warped product manifolds and their classifications

Y Li, SK Srivastava, F Mofarreh, A Kumar, A Ali - Symmetry, 2023 - mdpi.com
In this article, we derived an equality for CR-warped product in a complex space form which
forms the relationship between the gradient and Laplacian of the war** function and …

Singularities for timelike developable surfaces in Minkowski 3-Space

Y Li, Z Chen, SH Nazra, RA Abdel-Baky - Symmetry, 2023 - mdpi.com
In this paper, we consider the singularities and geometrical properties of timelike
developable surfaces with Bishop frame in Minkowski 3-space. Taking advantage of the …

Kenmotsu Metric as Conformal -Ricci Soliton

Y Li, D Ganguly - Mediterranean Journal of Mathematics, 2023 - Springer
The object of the present paper is to characterize the class of Kenmotsu manifolds which
admits conformal η-Ricci soliton. Here, we have investigated the nature of the conformal η …

Spacelike circular surfaces in Minkowski 3-space

Y Li, MT Aldossary, RA Abdel-Baky - Symmetry, 2023 - mdpi.com
The approach of the paper is on spacelike circular surfaces in the Minkowski 3-space. A
spacelike circular surface is a one-parameter family of Lorentzian circles with a fixed radius …

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 …

Quaternionic shape operator and rotation matrix on ruled surfaces

Y Li, A Çalışkan - Axioms, 2023 - mdpi.com
In this article, we examine the relationship between Darboux frames along parameter curves
and the Darboux frame of the base curve of the ruled surface. We derive the equations of the …

Tangent Bundles of P-Sasakian Manifolds Endowed with a Quarter-Symmetric Metric Connection

MNI Khan, F Mofarreh, A Haseeb - Symmetry, 2023 - mdpi.com
The purpose of this study is to evaluate the curvature tensor and the Ricci tensor of a P-
Sasakian manifold with respect to the quarter-symmetric metric connection on the tangent …