Vector fields on bifurcation diagrams of quasi singularities DOI Creative Commons
Fawaz Alharbi, Yanlin Li

AIMS Mathematics, Год журнала: 2024, Номер 9(12), С. 36047 - 36068

Опубликована: Янв. 1, 2024

<p>We describe the generators of vector fields tangent to bifurcation diagrams and caustics simple quasi boundary singularities. As an application, submersions on pair $ (G, B) $, which consists a cuspidal edge G in \mathbb{R}^3 that contains distinguishing regular curve B are classified. This classification was used as means investigate contact general equipped with B\subset has planes. The singularities height functions discussed they related curvatures torsions distinguished curves edge. In addition this, discriminants versal deformations were accomplished described duality edge.</p>

Язык: Английский

Spacelike Hypersurfaces in de Sitter Space DOI Creative Commons
Yanlin Li, Mona Bin-Asfour, Kholoud Saad Albalawi

и другие.

Axioms, Год журнала: 2025, Номер 14(3), С. 155 - 155

Опубликована: Фев. 21, 2025

A closed conformal vector field in de Sitter space S1n+1c¯ induces a on spacelike hypersurface M of S1n+1c¯, referred to as the induced M. This article investigates characterization compact hypersurfaces without assuming constancy mean curvature. Specifically, we establish that under certain conditions, is sphere, is, totally umbilical with constant We also present different spheres by using lower bound integral Ricci curvature direction field. consider Robertson–Walker and provide several characterizations within its hypersurfaces.

Язык: Английский

Процитировано

3

Characterization of Bach and Cotton Tensors on a Class of Lorentzian Manifolds DOI Creative Commons
Yanlin Li,

M. S. Siddesha,

H. Aruna Kumara

и другие.

Mathematics, Год журнала: 2024, Номер 12(19), С. 3130 - 3130

Опубликована: Окт. 7, 2024

In this work, we aim to investigate the characteristics of Bach and Cotton tensors on Lorentzian manifolds, particularly those admitting a semi-symmetric metric ω-connection. First, prove that manifold ω-connection with parallel tensor is quasi-Einstein flat. Next, show any

Язык: Английский

Процитировано

10

A Conformal η-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold DOI Creative Commons
Yanlin Li,

A. Mallick,

Arindam Bhattacharyya

и другие.

Axioms, Год журнала: 2024, Номер 13(11), С. 753 - 753

Опубликована: Окт. 31, 2024

This paper focuses on some geometrical and physical properties of a conformal η-Ricci soliton (Cη-RS) four-dimension Lorentzian Para-Sasakian (LP-S) manifold. The first section presents an introduction to Cη-RS LP-S manifolds, followed by discussion preliminary ideas about the LP-Sasakian In subsequent sections, we establish several results pertaining manifolds that exhibit Cη-RS. Additionally, consider certain conditions associated with manifolds. Besides these points view, this in perfect fluid spacetime obtain interesting properties. Finally, present case study

Язык: Английский

Процитировано

9

Riemannian invariants for warped product submanifolds in Q ε m × R {{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}} and their applications DOI Creative Commons
Yanlin Li, Norah Alshehri, Akram Ali

и другие.

Open Mathematics, Год журнала: 2024, Номер 22(1)

Опубликована: Янв. 1, 2024

Abstract This article investigates the geometric and topologic of warped product submanifolds in Riemannian Q ε m × mathvariant="double-struck">R {{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}} . In this respect, we obtain first Chen inequality that involves extrinsic invariants like length warping functions mean curvature. two intrinsic (sectional curvature δ \delta -invariant). addition, an integral bound is provided for Bochner operator formula compact terms Ricci gradient. We aim to apply theory many structures Dirichlet eigenvalues problem applications. Some new results regarding vanishing are presented as a partial solution, can be considered well-known given by Chern.

Язык: Английский

Процитировано

8

Modified Sweeping Surfaces in Euclidean 3-Space DOI Creative Commons
Yanlin Li, Kemal Eren, Soley Ersoy

и другие.

Axioms, Год журнала: 2024, Номер 13(11), С. 800 - 800

Опубликована: Ноя. 18, 2024

In this study, we explore the sweeping surfaces in Euclidean 3-space, utilizing modified orthogonal frames with non-zero curvature and torsion, which allows us to consider spine curves even if their second differentiations vanish. If of curve a surface has discrete zero points, Frenet frame might undergo discontinuous change orientation. Therefore, conventional parametrization such cannot be given. Thus, introduce two types by considering curves; first one’s is not identically torsion zero. Then, determine criteria for classifying coordinate these as geodesic, asymptotic, or lines. Additionally, delve into determining minimal, developable, Weingarten. Through our analysis, aim clarify characteristics defining surfaces. We present graphical representations sample enhance understanding provide concrete examples that showcase properties.

Язык: Английский

Процитировано

7

On Convergence of Toeplitz Quantization of the Sphere DOI Creative Commons
Yanlin Li,

Mohamed Lemine H. Bouleryah,

Akram Ali

и другие.

Mathematics, Год журнала: 2024, Номер 12(22), С. 3565 - 3565

Опубликована: Ноя. 14, 2024

In this paper, we give an explicit expression of the Toeplitz quantization a C∞ smooth function on sphere and show that sequence spectra determines its decreasing rearrangement. We also use to prove version Szegö’s Theorem.

Язык: Английский

Процитировано

5

Vector fields on bifurcation diagrams of quasi singularities DOI Creative Commons
Fawaz Alharbi, Yanlin Li

AIMS Mathematics, Год журнала: 2024, Номер 9(12), С. 36047 - 36068

Опубликована: Янв. 1, 2024

<p>We describe the generators of vector fields tangent to bifurcation diagrams and caustics simple quasi boundary singularities. As an application, submersions on pair $ (G, B) $, which consists a cuspidal edge G in \mathbb{R}^3 that contains distinguishing regular curve B are classified. This classification was used as means investigate contact general equipped with B\subset has planes. The singularities height functions discussed they related curvatures torsions distinguished curves edge. In addition this, discriminants versal deformations were accomplished described duality edge.</p>

Язык: Английский

Процитировано

0