Results 11 to 20 of about 3,675 (265)

Geodesic and Conformally Reeb Vector Fields on Flat 3-Manifolds

SSRN Electronic Journal, 2022
19 pages, 6 figures V2: Minor corrections, added remark following Theorem 1.
Becker, Tilman
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Geodesic orbit and weakly symmetric spray manifolds [PDF]

Comptes Rendus. Mathématique
In this paper, we introduce the geodesic orbit and weakly symmetric properties in homogeneous spray geometry. When a homogeneous spray manifold is endowed with a reductive decomposition, we use the spray vector field to describe these properties, and ...
Xu, Xiyun, Xu, Ming
doaj   +2 more sources

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

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
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Computing Geodesic Level Sets on Global (Un)stable Manifolds of Vector Fields [PDF]

SIAM Journal on Applied Dynamical Systems, 2003
Summary: Many applications give rise to dynamical systems in the form of a vector field with a phase space of moderate dimension. Examples are the Lorenz equations, mechanical and other oscillators, and models of spiking neurons. The global dynamics of such a system is organized by the stable and unstable manifolds of the saddle points, of the saddle ...
Bernd Krauskopf, Hinke M. Osinga
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Cosmic acceleration and geodesic deviation in chameleon scalar field model

European Physical Journal C: Particles and Fields, 2022
While considering the chameleon scalar field model with the spatially flat FLRW background, we investigate the late-time acceleration phase of the universe, wherein we apply the typical potential usually used in this model.
Raziyeh Zaregonbadi, Nasim Saba, Mehrdad Farhoudi   +2 more
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Some results on almost Ricci solitons and geodesic vector fields

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2017
An almost Ricci soliton is a Riemannian manifold \((M, g)\) satisfying the conditon \(\mathcal{L}_Vg=2\text{Ric}(g)=2\lambda g\), where \(V\) is a smooth vector field, \(\text{Ric}\) is the Ricci tensor of \(g\), \(\mathcal{L}_V\) is the Lie derivative along \(V\), and \(\lambda\) is a real smooth function on \(M\).
Ramesh Sharma, Sharma, Ramesh
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Trajectories of Affine Control Systems and Geodesics of a Spacetime with a Causal Killing Vector Field [PDF]

Journal of Dynamical and Control Systems, 2023
Abstract We study the geodesic connectedness of a globally hyperbolic spacetime ( M , g ) admitting a complete smooth Cauchy hypersurface S and endowed with a complete causal Killing vector field
Rossella Bartolo, Erasmo Caponio
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Geodesic Distance Function Learning via Heat Flow on Vector Fields

CoRR, 2014
Learning a distance function or metric on a given data manifold is of great importance in machine learning and pattern recognition. Many of the previous works first embed the manifold to Euclidean space and then learn the distance function. However, such a scheme might not faithfully preserve the distance function if the original manifold is not ...
Binbin Lin, Ji Yang, Xiaofei He 0001, Jieping Ye   +3 more
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Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field

Revista Matemática Iberoamericana, 2017
Taking a globally hyperbolic spacetime endowed with a complete lightlike Killing vector field and a complete Cauchy hypersurface, we characterize the points which can be connected by geodesics. A straightforward consequence is the geodesic connectedness of globally hyperbolic generalized plane waves with a complete Cauchy hypersurface.
BARTOLO, Rossella, Candela AM, Flores JL
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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