Results 11 to 20 of about 715 (188)

The affine approach to homogeneous geodesics in homogeneous Finsler spaces [PDF]

Archivum Mathematicum, 2018
In a recent paper, it was claimed that any homogeneous Finsler space of odd dimension admits a homogeneous geodesic through any point. For the proof, the algebraic method dealing with the reductive decomposition of the Lie algebra of the isometry group was used. However, the proof contains a serious gap.
Dušek, Zdeněk
openaire   +3 more sources

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

Affine symmetry, geodesics, and homogeneous spacetimes [PDF]

General Relativity and Gravitation, 2018
To appear in General Relativity and Gravitation.
David Maughan, Charles Torre
openaire   +5 more sources

Geodesic complexity of homogeneous Riemannian manifolds [PDF]

, 2022
We study the geodesic motion planning problem for complete Riemannian manifolds and investigate their geodesic complexity, an integer-valued isometry invariant introduced by D. Recio-Mitter.
Mescher, Stephan, Stegemeyer, Maximilian
core   +1 more source

Geodesic graphs in Randers g.o. spaces [PDF]

, 2020
summary:The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, in particular to homogeneous Randers g.o. manifolds. On modified H-type groups which admit a Riemannian g.o. metric, invariant Randers g.o.
Dušek, Zdeněk
core   +1 more source

Homogeneous geodesics and g.o. manifolds

, 2018
One interesting problem in pseudo-Riemannian geometry is the description of geodesics. In order to obtain some simplifications to the problem, symmetry conditions on the manifold are assumed. In this framework, the problem of the description of geodesics in homogeneous pseudo-Riemannian manifolds \((M,g)\) is considered. Motivated by the facts that the
Zdeněk Dušek,
openaire   +5 more sources

Minimal homogeneous submanifolds in euclidean spaces [PDF]

, 2002
We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
core   +1 more source

Geodesic vectors of square metrics on 5- dimensional generalized symmetric spaces [PDF]

ریاضی و جامعه
In this paper, we consider the $(\alpha, \beta)$-metric $F=\frac{(\alpha + \beta)^2}{\alpha}$ along with the function $\phi$ with the definition of $\phi(s)=1+2s+s^2$, which is known as a square metric, on 5-dimensional generalized symmetric spaces. Then
Dariush Latifi, Milad Zeinali
doaj   +1 more source

The Sub-Riemannian Limit of Curvatures for Curves and Surfaces and a Gauss-Bonnet Theorem in the Group of Rigid Motions of Minkowski Plane with General Left-Invariant Metric

Journal of Function Spaces, 2021
The group of rigid motions of the Minkowski plane with a general left-invariant metric is denoted by E1,1,gλ1,λ2, where λ1≥λ2>0. It provides a natural 2-parametric deformation family of the Riemannian homogeneous manifold Sol3=E1,1,g1,1 which is the ...
Jianyun Guan, Haiming Liu
doaj   +1 more source

Two-step Homogeneous Geodesics in Homogeneous Spaces

Taiwanese Journal of Mathematics, 2016
18 ...
Arvanitoyeorgos, Andreas, Panagiotis Souris, Nikolaos   +1 more
openaire   +3 more sources