Results 11 to 20 of about 3,220 (254)

Soliton-Type Equations on a Riemannian Manifold

Mathematics, 2022
We study some particular cases of soliton-type equations on a Riemannian manifold. We give an estimation of the first nonzero eigenvalue of the Laplace operator and provide necessary and sufficient conditions for the manifold to be isometric to a sphere.
Nasser Bin Turki, Adara M. Blaga, Sharief Deshmukh   +2 more
doaj   +1 more source

Some Special Ruled Surfaces Generated by a Direction Curve according to the Darboux Frame and their Characterizations

Abstract and Applied Analysis, 2021
In this work, we consider the Darboux frame T,V,U of a curve lying on an arbitrary regular surface and we construct ruled surfaces having a base curve which is a V-direction curve.
Nidal Echabbi, Amina Ouazzani Chahdi
doaj   +1 more source

Approximate Efficient Solutions of the Vector Optimization Problem on Hadamard Manifolds via Vector Variational Inequalities

Mathematics, 2020
This article has two objectives. Firstly, we use the vector variational-like inequalities problems to achieve local approximate (weakly) efficient solutions of the vector optimization problem within the novel field of the Hadamard manifolds.
Gabriel Ruiz-Garzón, Rafaela Osuna-Gómez, Antonio Rufián-Lizana, Beatriz Hernández-Jiménez   +3 more
doaj   +1 more source

Geodesic vector fields, induced contact structures and tightness in dimension three

Geometriae Dedicata
AbstractIn this paper, we provide new and simpler proofs of two theorems of Gluck and Harrison on contact structures induced by great circle or line fibrations. Furthermore, we prove that a geodesic vector field whose Jacobi tensor is parallel along flow lines (e.g.
exaly   +4 more sources

On Minimal Hypersurfaces of a Unit Sphere

Mathematics, 2021
Minimal compact hypersurface in the unit sphere Sn+1 having squared length of shape operator A22), provided the scalar curvature τ is a constant on integral curves of w.
Amira Ishan, Sharief Deshmukh, Ibrahim Al-Dayel, Cihan Özgür   +3 more
doaj   +1 more source

Evolutionary dynamics on a regular networked structured and unstructured multi‐population

International Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar, Leonardo Stella, Dario Bauso   +2 more
wiley   +1 more source

Geodesic deviation, Raychaudhuri equation, Newtonian limit, and tidal forces in Weyl-type f(Q, T) gravity

European Physical Journal C: Particles and Fields, 2021
We consider the geodesic deviation equation, describing the relative accelerations of nearby particles, and the Raychaudhuri equation, giving the evolution of the kinematical quantities associated with deformations (expansion, shear and rotation) in the ...
Jin-Zhao Yang, Shahab Shahidi, Tiberiu Harko, Shi-Dong Liang   +3 more
doaj   +1 more source

Geodesic motion on the symplectic leaf of $$SO(3)$$ S O ( 3 ) with distorted e(3) algebra and Liouville integrability of a free rigid body

European Physical Journal C: Particles and Fields, 2023
The solutions to the Euler–Poisson equations are geodesic lines of SO(3) manifold with the metric determined by inertia tensor. However, the Poisson structure on the corresponding symplectic leaf does not depend on the inertia tensor.
Alexei A. Deriglazov
doaj   +1 more source

Conformal Symmetries of the Strumia–Tetradis’ Metric

Physical Sciences Forum, 2023
In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos, Christos Tsipogiannis   +1 more
doaj   +1 more source

Geodesics and Killing vector fields on the tangent sphere bundle [PDF]

Nagoya Mathematical Journal, 1998
Abstract.We show that any Killing vector field on the unit tangent sphere bundle with Sasaki metric of a space of constant curvaturek≠ 1 is fiber preserving by studying some property of geodesies on the bundle. As a consequence, any Killing vector field on the unit tangent sphere bundle of a space of constant curvaturek≠ 1 can be extended to a Killing ...
Konno, Tatsuo, Tanno, Shukichi
openaire   +3 more sources