On the Geometry of Kobayashi–Nomizu Type and Yano Type Connections on the Tangent Bundle with Sasaki Metric DOI Creative Commons
E. Peyghan,

Davood Seifipour,

Ion Mihai

et al.

Mathematics, Journal Year: 2023, Volume and Issue: 11(18), P. 3865 - 3865

Published: Sept. 10, 2023

In this paper, we address the study of Kobayashi–Nomizu type and Yano connections on tangent bundle TM equipped with Sasaki metric. Then, determine curvature tensors these connections. Moreover, find conditions under which are torsion-free, Codazzi, statistical structures, respectively, respect to Finally, introduce mutual tensor a manifold. We investigate some its properties; furthermore, manifold

Language: Английский

On simultaneous characterizations of partner-ruled surfaces in Minkowski 3-space DOI Creative Commons
Yanlin Li, Kemal Eren, Soley Ersoy

et al.

AIMS Mathematics, Journal Year: 2023, Volume and Issue: 8(9), P. 22256 - 22273

Published: Jan. 1, 2023

<abstract><p>In this study, the partner-ruled surfaces in Minkowski 3-space, which are defined according to Frenet vectors of non-null space curves, introduced with extra conditions that guarantee existence definite surface normals. First, requirements each pair be simultaneously developable and minimal (or maximal for spacelike surfaces) investigated. The also characterize asymptotic, geodesic curvature lines parameter curves these surfaces. Finally, study provides examples timelike includes their graphs.</p></abstract>

Language: Английский

Citations

23
On the curvatures of timelike circular surfaces in Lorentz-Minkowski space DOI Open Access
Jing Li,

Zhichao Yang,

Yanlin Li

et al.

Filomat, Journal Year: 2024, Volume and Issue: 38(4), P. 1423 - 1437

Published: Jan. 1, 2024

In this paper, using the classical methods of differential geometry, wedefine invariants timelike circular surfaces in Lorentz-Minkowski space R3 1, called curvature functions, and show kinematic meaning these invariants. Then we discuss properties give a kind classification with theories Besides, to demonstrate our theoretical results some computational examples are given plotted.

Language: Английский

Citations

10
On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space DOI Creative Commons
Yanlin Li, M. K. Gupta, Suman Sharma

et al.

Mathematics, Journal Year: 2023, Volume and Issue: 11(15), P. 3365 - 3365

Published: Aug. 1, 2023

The characterization of Finsler spaces with Ricci curvature is an ancient and cumbersome one. In this paper, we have derived expression for the homogeneous generalized Matsumoto change. Moreover, deduced aforementioned space vanishing S-curvature. These findings contribute significantly to understanding complex nature their properties.

Language: Английский

Citations

21
A Hypersurfaces of Revolution Family in the Five-Dimensional Pseudo-Euclidean Space E25 DOI Creative Commons
Yanlin Li, Erhan Güler

Mathematics, Journal Year: 2023, Volume and Issue: 11(15), P. 3427 - 3427

Published: Aug. 7, 2023

We present a family of hypersurfaces revolution distinguished by four parameters in the five-dimensional pseudo-Euclidean space E25. The matrices corresponding to fundamental form, Gauss map, and shape operator this are computed. By utilizing Cayley–Hamilton theorem, we determine curvatures specific family. Furthermore, establish criteria for maximality within framework. Additionally, reveal relationship between Laplace–Beltrami 5×5 matrix.

Language: Английский

Citations

21
Framed Natural Mates of Framed Curves in Euclidean 3-Space DOI Creative Commons
Yanlin Li, Mahmut Mak

Mathematics, Journal Year: 2023, Volume and Issue: 11(16), P. 3571 - 3571

Published: Aug. 17, 2023

In this study, we consider framed curves as regular or singular space with an adapted frame in Euclidean 3-space. We define natural mates of a curve that are tangent to the generalized principal normal curve. Subsequently, present relationships between and its mates. particular, establish some necessary sufficient conditions for specific curves, such spherical helices, slant rectifying curves. Finally, support concept examples.

Language: Английский

Citations

19
Kinematic-geometry of a line trajectory and the invariants of the axodes DOI Creative Commons
Yanlin Li, Fatemah Mofarreh, Rashad A. Abdel-Baky

et al.

Demonstratio Mathematica, Journal Year: 2023, Volume and Issue: 56(1)

Published: Jan. 1, 2023

Abstract In this article, we investigate the relationships between instantaneous invariants of a one-parameter spatial movement and local axodes. Specifically, provide new proofs for Euler-Savary Disteli formulas using E. Study map in kinematics, showcasing its elegance efficiency. addition, introduce two line congruences thoroughly analyze their equivalence. Our findings contribute to deeper understanding interplay movements axodes, with potential applications fields such as robotics mechanical engineering.

Language: Английский

Citations

17
Exploring Conformal Soliton Structures in Tangent Bundles with Ricci-Quarter Symmetric Metric Connections DOI Creative Commons
Yanlin Li, Aydın Gezer, Erkan Karakaş

et al.

Mathematics, Journal Year: 2024, Volume and Issue: 12(13), P. 2101 - 2101

Published: July 4, 2024

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 primary goal is to establish necessary and sufficient conditions for exhibit characteristics various solitons, specifically conformal Yamabe gradient Ricci solitons. We determine that be soliton, potential vector field must satisfy certain when lifted vertically, horizontally, or completely from TM, alongside specific constraints on factor λ geometric properties M. For involve Hessian function. Similarly, identify involving lift field, value λ, curvature criteria include function These results enhance understanding bundles under connections provide insights into their transition soliton states, contributing significantly differential geometry.

Language: Английский

Citations

8
Geometric classifications of k-almost Ricci solitons admitting paracontact metrices DOI Creative Commons
Yanlin Li, Dhriti Sundar Patra, Nadia Alluhaibi

et al.

Open Mathematics, Journal Year: 2023, Volume and Issue: 21(1)

Published: Jan. 1, 2023

Abstract The prime objective of the approach is to give geometric classifications k k -almost Ricci solitons associated with paracontact manifolds. Let M 2 n + 1 ( φ , ξ η g ) {M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a metric manifold, and if K K -paracontact g represents soliton V λ \left(g,V,k,\lambda ) potential vector field V Jacobi along Reeb \xi , then either = − k=\lambda -2n or -Ricci soliton. Next, we consider manifold as infinitesimal transformation collinear . We have proved that non-zero operator Q Q commutes structure \varphi it Einstein constant scalar curvature equals -2n\left(2n+1) Finally, deduced para-Sasakian admitting gradient

Language: Английский

Citations

14
Certain Results on the Lifts from an LP-Sasakian Manifold to Its Tangent Bundle Associated with a Quarter-Symmetric Metric Connection DOI Open Access
Mohammad Nazrul Islam Khan, Fatemah Mofarreh, Abdul Haseeb

et al.

Symmetry, Journal Year: 2023, Volume and Issue: 15(8), P. 1553 - 1553

Published: Aug. 8, 2023

The purpose of this study is to examine the complete lifts from symmetric and concircular n-dimensional Lorentzian para-Sasakian manifolds (briefly, (LPS)n) its tangent bundle TM associated with a Riemannian connection DC quarter-symmetric metric (QSMC) D¯C.

Language: Английский

Citations

13
Characterization of Ricci Almost Soliton on Lorentzian Manifolds DOI Open Access
Yanlin Li,

H. Aruna Kumara,

M. S. Siddesha

et al.

Symmetry, Journal Year: 2023, Volume and Issue: 15(6), P. 1175 - 1175

Published: May 31, 2023

Ricci solitons (RS) have an extensive background in modern physics and are extensively used cosmology general relativity. The focus of this work is to investigate almost (RAS) on Lorentzian manifolds with a special metric connection called semi-symmetric u-connection (SSM-connection). First, we show that any quasi-Einstein manifold having SSM-connection, whose RS, Einstein manifold. A similar conclusion also holds for SSM-connection admitting RS soliton vector Z parallel the u. Finally, examine gradient (GRAS) SSM-connection.

Language: Английский

Citations

7