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Homogeneous geocesics in homogeneous affine manifolds
New method for studying homogeneous geodesics in homogeneous manifolds is presented.
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The existence of homogeneous geodesics in homogeneous pseudo-Riemannian and affine manifolds
It is proved that any homogeneous affine manifold (and, as a corollary, any homogeneous pseudo-Riemannian manifold) admits at least one homogeneous geodesic through any point....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Survey on homogeneous geodesics
A survey on homogeneous geodesics in Riemannian an pseudo-Riemannian homogeneous manifolds is presented...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the existence of homogeneous geodesics in homogeneous Riemannian manifold-Erratum
Erratum to: On the existence of homogeneous geodesics in homogeneous Riemannian manifolds, Geom. Dedicata 81, (2000), 209-214......
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On a Generalization of Curvature Homogeneous Spaces
Sekigawa proved in 1977 that a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the sense of I.M. Singer is always locally homogeneous. We deal here with the modification of the curvature
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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
On the Ricci operator of locally homogeneous Lorentzian 3-manifolds
We determine the admissible forms for the Ricci operator of three-dimensional locally homogeneous Lorentzian manifolds.
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On a generalization of curvature homogeneus spaces
K. Sekigawa proved in 1977 that a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the sense of I.M. Singer is always locally homogeneous. We deal here with the modification of the curvature...
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Homogeneous geodesics and g.o. manifolds
The present paper is a survey on the interesting phenomena and examples related with the existence of homogeneous geodesics and with g.o. manifolds in Riemannian, pseudo-Riemannian, affine and Finsler geometry....
Pure mathematics
- 2018 •
- JSC
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Homogeneous Geodesics in Homogeneous Affine Manifolds
homogeneous affine manifolds in dimension 2.For studying homogeneous geodesics in Riemannian and pseudo- Riemannian geometry (on reductive homogeneous spaces) there is a simple algebraic formula paper, wepropose a...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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