Results 11 to 20 of about 5,920 (280)

Stability of Geodesic Vectors in Low-Dimensional Lie Algebras

Journal of Lie Theory, 2022
A naturally parameterised curve in a Lie group with a left invariant metric is a geodesic, if its tangent vector left-translated to the identity satisfies the Euler equation Y = adt Y Y on the Lie algebra g of G. Stationary points (equilibria) of the Euler equation are called geodesic vectors: the geodesic starting at the identity in the direction of a
Nguyen, An Ky, Nikolayevsky, Yuri
openaire   +4 more sources

On canonical quasi-geodesic mappings of recurrent-parabolic spaces

Pracì Mìžnarodnogo Geometričnogo Centru, 2018
Studying of the entered earlier quasi-geodesic mappings of recurrent parabolic spaces continues. The express class of such mappings - canonical quasi-geodesic mappings is allocated. Geometrical objects, invariant under considered mappings are constructed.
Ірина Миколаївна Курбатова, Дар'я Віталівна Лозієнко   +1 more
doaj   +2 more sources

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
openaire   +3 more sources

Geodesic Nature and Quantization of Shift Vector

Chinese Physics Letters
Abstract We present the geodesic nature and quantization of geometric shift vector in quantum systems, with the parameter space defined by the Bloch momentum, using the Wilson loop approach. Our analysis extends to include bosonic phonon drag shift vectors with non-vertical transitions.
Wang, Hua, Chang, Kai
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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

Geodesic Mappings of V_n(K)-Spaces and Concircular Vector Fields

Mathematics, 2019
In the present paper, we study geodesic mappings of special pseudo-Riemannian manifolds called V n ( K ) -spaces. We prove that the set of solutions of the system of equations of geodesic mappings on V n ( K ) -spaces forms a ...
Igor G. Shandra, Josef Mikeš
doaj   +2 more sources

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
openaire   +5 more sources

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
openaire   +4 more sources

On geodesic vector fields in a compact orientableRiemannian space

Commentarii Mathematici Helvetici, 1961
Yano Kentaro
exaly   +3 more sources

Геодезичні відображення коспактних квазі-ейнштейнових просторів

Pracì Mìžnarodnogo Geometričnogo Centru, 2021
The paper treats geodesic mappings of quasi-Einstein spaces with gradient defining vector. Previously the authors defined three types of these spaces. In the present paper it is proved that there are no quasi-Einstein spaces of special type.
Володимир Анатолійович Кіосак, Александр Савченко, Олександр Латиш   +2 more
doaj   +1 more source