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The existence of homogeneous geodesics in special homogeneous Finsler spaces
The affine method for the study of homogeneous geodesics in Finsler spaces and further refined. It is proved that any homogeneous Berwald space or homogeneous reversible Finsler space...
Pure mathematics
- 2019 •
- Jimp
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
The affine approach to homogeneous geodesics in homogeneous Finsler spaces
"In a recent paper it was claimed that any homogeneous Finsler space of odd dimension admits a homogeneous geodesic through any point. However, the proof contains that homogeneous geodesics in homogene...
Pure mathematics
- 2018 •
- JSC •
- Link
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Výsledek na webu
Homogeneous Randers spaces admitting just two homogeneous geodesics
"The existence of a homogeneous geodesic in homogeneous Finsler manifolds can be improved, namely that any homogeneous Finsler manifold admits at least two homogenous geodesics. Examples of ho...
Mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Geodesic graphs in Randers g.o. spaces
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. m...
Pure mathematics
- 2020 •
- JSC •
- Link
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Výsledek na webu
Holonomy of a class of bundles with fibre metrics
forsuch spaces. The paper ends with a discussion of how the results may be extended to Finsler spaces and homogeneous nonlinear connections in general.This paper is concerned with the holonomy of a class of sp...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The existence of two homogeneous geodesics in Finsler geometry
The existence of a homogeneous geodesic in homogeneous Finsler manifolds. In the present paper, this result is refined and the existence of at least two homogeneous geodesics in any homogeneous Finsler...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Structure of geodesics in weakly symmetric Finsler metrics on H-type groups
Structure of geodesic graphs in special families of invariant weakly symmetric Finsler metrics on modified H-type groups is investigated. Geodesic graphs on modified H-type groups with the center of dimension 1 or 2 are constructed. The new ...
Pure mathematics
- 2020 •
- JSC •
- Link
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Výsledek na webu
The minimal number of homogeneous geodesics depending on the signature of the Killing form
The existence of at least two homogeneous geodesics in any homogeneous Finsler groups with invariant Finsler metric which admit just two homogeneous geodesics were presented in another paper. In the presen...
Pure mathematics
- 2023 •
- JSC •
- Link
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Výsledek na webu
Variational properties of geodesics in generalized Finsler spaces
A new variational property in (pseudo-)Riemannian and Finsler spaces has been found...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Homogeneous variational problems: a minicourse
A Finsler geometry may be understood as a homogeneous variational problem, where the Finsler function is the Lagrangian. The extremals in Finsler geometry are curves, but in more general variational problems we mig...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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