LIFTS ON THE SUPERSTRUCTURE F(±a^2,±b^2) OBEYING (F^2+a^2)(F^2-a^2)(F^2+b^2)(F^2-b^2) = 0 DOI Creative Commons
Mohit Raj Saxena

Journal of Science and Arts, Journal Year: 2023, Volume and Issue: 24(4), P. 965 - 972

Published: Dec. 30, 2023

The purpose of the present paper is to analyze concept horizontal and complete lifts on superstructure F(±a^2,±b^2), which defined as (F^2+a^2)(F^2-a^2)(F^2+b^2)(F^2-b^2) = 0, over tangent bundles establish its integrability conditions using lifts. Finally, some properties third-order bundle are investigated.

Language: Английский

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

9
Analyzing the Ricci Tensor for Slant Submanifolds in Locally Metallic Product Space Forms with a Semi-Symmetric Metric Connection DOI Creative Commons
Yanlin Li,

Md Aquib,

Meraj Ali Khan

et al.

Axioms, Journal Year: 2024, Volume and Issue: 13(7), P. 454 - 454

Published: July 4, 2024

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 includes derivation Chen–Ricci inequality and an in-depth analysis its equality case. More precisely, if mean curvature vector at point vanishes, then case this is achieved by unit tangent only belongs to normal space. Finally, we have shown that when totally geodesic or umbilical n=2, holds true for all vectors point, conversely.

Language: Английский

Citations

8
Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle DOI Creative Commons
Rajesh Kumar, Sameh Shenawy, Nasser Bin Turki

et al.

Mathematics, Journal Year: 2024, Volume and Issue: 12(2), P. 226 - 226

Published: Jan. 10, 2024

The lifts of Sasakian statistical manifolds associated with a semi-symmetric metric connection in the tangent bundle are characterized current research. relationship between complete manifold connections and is investigated. We also discuss classification respect to bundle. Finally, we derive an example

Language: Английский

Citations

1
Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold DOI Creative Commons

Lixu Yan,

Yanlin Li, Lokman Bilen

et al.

Mathematics, Journal Year: 2024, Volume and Issue: 12(9), P. 1395 - 1395

Published: May 2, 2024

Let (M,∇,g) be a statistical manifold and TM its tangent bundle endowed with twisted Sasaki metric G. This paper serves two primary objectives. The first objective is to investigate the curvature properties of TM. second explore conformal vector fields Ricci, Yamabe, gradient Ricci–Yamabe solitons on according

Language: Английский

Citations

1
On tangent bundles of submanifolds of a Riemannian manifold endowed with quarter-symmetric non-metric connection DOI Open Access
Mohammad Nazrul Islam Khan, Lovejoy S. Das

Turkish Journal of Mathematics and Computer Science, Journal Year: 2023, Volume and Issue: 15(2), P. 355 - 364

Published: Dec. 8, 2023

The object of this article is to study a quarter-symmetric non-metric connection in the tangent bundle and induced metric on submanifold co-dimension 2 hypersurface concerning bundle. Weingarten equations are obtained. Finally, authors deduce Riemannian curvature tensor Gauss Codazzi manifold

Language: Английский

Citations

2
Lifts of hypersurfaces on a Sasakian manifold to tangent bundles DOI Creative Commons
Mohammad Nazrul Islam Khan, Lovejoy S. Das

Universal Journal of Mathematics and Applications, Journal Year: 2023, Volume and Issue: unknown

Published: Dec. 8, 2023

The aim of present paper is to introduce a Sasakian manifold immersed with Quartersymmetric semi-metric connection tangent bundle. We deduce the relation between Riemannian and Quarter-symmetric bundle on obtain theorems on totally geodesic umbilical.

Language: Английский

Citations

2
Solitons of η-Ricci–Bourguignon Type on Submanifolds in (LCS)m Manifolds DOI Open Access
L. -L. Yan,

Vandana Vandana,

Aliya Naaz Sıddıquı

et al.

Symmetry, Journal Year: 2024, Volume and Issue: 16(6), P. 675 - 675

Published: May 31, 2024

In this research article, we concentrate on the exploration of submanifolds in an (LCS)m-manifold B˜. We examine these context two distinct vector fields, namely, characteristic field and concurrent field. Initially, consider some classifications η-Ricci–Bourguignon (in short, η-RB) solitons both invariant anti-invariant B˜ employing establish several significant findings through process. Furthermore, investigate additional results by using η-RB with discuss a supporting example.

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

Lixu Yan,

Yanlin Li, Apurba Saha

et al.

Axioms, Journal Year: 2024, Volume and Issue: 13(5), P. 332 - 332

Published: May 17, 2024

In this paper, we determine the variation formula for first eigenvalue of (p,q)-biharmonic system on a closed Riemannian manifold. Several monotonic quantities are also derived.

Language: Английский

Citations

0
Novel theorems for the cotangent bundle endowed with metallic structures on a differentiable manifold DOI Creative Commons
Mohammad Nazrul Islam Khan, Nahid Fatima

Heliyon, Journal Year: 2024, Volume and Issue: 10(11), P. e32144 - e32144

Published: June 1, 2024

The present paper aims to study the complete, horizontal and diagonal lifts of metallic structures in cotangent bundle. Furthermore, Nijenhuis tensor a structure is calculated its integrability conditions by means partial differential equations are established.

Language: Английский

Citations

0