A DDVV Conjecture for Riemannian Maps DOI Open Access
Aliya Naaz Sıddıquı, Fatemah Mofarreh

Symmetry, Journal Year: 2024, Volume and Issue: 16(8), P. 1029 - 1029

Published: Aug. 12, 2024

The Wintgen inequality is a significant result in the field of differential geometry, specifically related to study submanifolds Riemannian manifolds. It was discovered by Pierre Wintgen. In present work, we deal with maps between manifolds that serve as superb method for comparing geometric structures source and target This article first explore well-known conjecture, called DDVV (a conjecture on real space forms proven P.J. De Smet, F. Dillen, L. Verstraelen Vrancken), maps, where consider different There are numerous research problems such various ambient These can all be explored within general framework equipped notable structures.

Language: Английский

Geometric visualization of evolved ruled surfaces via alternative frame in Lorentz-Minkowski 3-space DOI Creative Commons
Yanlin Li,

H. S. Abdel-Aziz,

H. M. Serry

et al.

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(9), P. 25619 - 25635

Published: Jan. 1, 2024

<p>The main goal of this paper is to investigate the evolution equations for special types timelike ruled surfaces with significant geometric and physical applications in Lorentz-Minkowski 3-space $ E_{1}^{3} $. Using alternative frame associated basic curve these surfaces, we explored their key properties. Our analysis provided insights into dynamics local curvatures during evolutions, enhancing understanding surface behavior. Finally, present our preliminary findings that contribute broader field differential geometry.</p>

Language: Английский

Citations

7
Euclidean hypersurfaces isometric to spheres DOI Creative Commons
Yanlin Li, Nasser Bin Turki, Sharief Deshmukh

et al.

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(10), P. 28306 - 28319

Published: Jan. 1, 2024

<p>Given an immersed hypersurface $ M^{n} in the Euclidean space E^{n+1} $, tangential component $\boldsymbol{\omega }$ of position vector field is called basic field, and smooth function normal gives a \sigma on support hypersurface. In first result, we show that complete simply connected positive Ricci curvature with shape operator T invariant under satisfies static perfect fluid equation if only isometric to sphere. second compact gradient eigenvector eigenvalue mean H integral squared length \nabla has certain lower bound, giving characterization third incompressible }$, sphere.</p>

Language: Английский

Citations

7
Li-Yau type estimation of a semilinear parabolic system along geometric flow DOI Creative Commons
Yanlin Li, Sujit Bhattacharyya, Shahroud Azami

et al.

Journal of Inequalities and Applications, Journal Year: 2024, Volume and Issue: 2024(1)

Published: Oct. 10, 2024

This article provides a Li–Yau-type gradient estimate for semilinear weighted parabolic system of equations along an abstract geometric flow on smooth measure space. A Harnack-type inequality the is also derived at end.

Language: Английский

Citations

7
Characterization of Bach and Cotton Tensors on a Class of Lorentzian Manifolds DOI Creative Commons
Yanlin Li,

M. S. Siddesha,

H. Aruna Kumara

et al.

Mathematics, Journal Year: 2024, Volume and Issue: 12(19), P. 3130 - 3130

Published: Oct. 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

Language: Английский

Citations

6
A Conformal η-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold DOI Creative Commons
Yanlin Li,

A. Mallick,

Arindam Bhattacharyya

et al.

Axioms, Journal Year: 2024, Volume and Issue: 13(11), P. 753 - 753

Published: Oct. 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

Language: Английский

Citations

6
Exact Solutions to Fractional Schrödinger–Hirota Equation Using Auxiliary Equation Method DOI Creative Commons

Guangyuan Tian,

Xianji Meng

Axioms, Journal Year: 2024, Volume and Issue: 13(10), P. 663 - 663

Published: Sept. 26, 2024

In this paper, we consider the fractional Schrödinger–Hirota (FSH) equation in sense of a conformable derivative. Through traveling wave transformation, change FSH to an ordinary differential equation. We obtain several exact solutions through auxiliary method, including soliton, exponential and periodic solutions, which are useful analyze behaviors show that method improves speed discovery solutions.

Language: Английский

Citations

1
On Sequential Warped Products Whose Manifold Admits Gradient Schouten Harmonic Solitons DOI Creative Commons
L. -L. Yan, Yanlin Li, Fatemah Mofarreh

et al.

Mathematics, Journal Year: 2024, Volume and Issue: 12(16), P. 2451 - 2451

Published: Aug. 7, 2024

As part of our study, we investigate gradient Schouten harmonic solutions to sequential warped product manifolds. The main contribution work is an explanation how it possible express solitons on Our analysis covers both generalized Robertson–Walker spacetimes and static using solitons. Studies conducted previously can be from this study.

Language: Английский

Citations

0
A DDVV Conjecture for Riemannian Maps DOI Open Access
Aliya Naaz Sıddıquı, Fatemah Mofarreh

Symmetry, Journal Year: 2024, Volume and Issue: 16(8), P. 1029 - 1029

Published: Aug. 12, 2024

The Wintgen inequality is a significant result in the field of differential geometry, specifically related to study submanifolds Riemannian manifolds. It was discovered by Pierre Wintgen. In present work, we deal with maps between manifolds that serve as superb method for comparing geometric structures source and target This article first explore well-known conjecture, called DDVV (a conjecture on real space forms proven P.J. De Smet, F. Dillen, L. Verstraelen Vrancken), maps, where consider different There are numerous research problems such various ambient These can all be explored within general framework equipped notable structures.

Language: Английский

Citations

0