Homology of Warped Product Semi-Invariant Submanifolds of a Sasakian Space Form with Semisymmetric Metric Connection DOI Creative Commons

Ibrahim Al-Dayel,

Meraj Ali Khan, Mohammad Shuaib

et al.

Journal of Mathematics, Journal Year: 2023, Volume and Issue: 2023, P. 1 - 8

Published: Oct. 10, 2023

This paper focuses on the investigation of semi-invariant warped product submanifolds Sasakian space forms endowed with a semisymmetric metric connection. We delve into study these and derive several fundamental results. Additionally, we explore practical implications our findings by applying them to homology analysis submanifolds. Notably, present proof demonstrating absence stable currents for under specific condition.

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
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
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
A helicoidal hypersurfaces family in five-dimensional euclidean space DOI Open Access
Erhan Güler

Filomat, Journal Year: 2024, Volume and Issue: 38(11), P. 3813 - 3824

Published: Jan. 1, 2024

A family of helicoidal hypersurfaces, denoted as x(u,v,s,t), is introduced within the context five-dimensional Euclidean space E5. Matrices for first and second fundamental forms, Gauss map, shape operator matrix x are derived. Furthermore, by employing Cayley?Hamilton theorem to define curvatures these computed specifically hypersurfaces x. Several relationships between mean Gauss?Kronecker established. Additionally, equation ?x = Ax demonstrated, where a 5 ? in

Language: Английский

Citations

0
Homology of Warped Product Semi-Invariant Submanifolds of a Sasakian Space Form with Semisymmetric Metric Connection DOI Creative Commons

Ibrahim Al-Dayel,

Meraj Ali Khan, Mohammad Shuaib

et al.

Journal of Mathematics, Journal Year: 2023, Volume and Issue: 2023, P. 1 - 8

Published: Oct. 10, 2023

This paper focuses on the investigation of semi-invariant warped product submanifolds Sasakian space forms endowed with a semisymmetric metric connection. We delve into study these and derive several fundamental results. Additionally, we explore practical implications our findings by applying them to homology analysis submanifolds. Notably, present proof demonstrating absence stable currents for under specific condition.

Language: Английский

Citations

1