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Structure of geodesics in the flag manifold SO(7)/U(3)
It is shown that the degree of the g.o. manifold SO(7)/U(3) is equal to 4.
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Examples of pseudo-Riemannian g.o. manifolds
We modify the metrics on 6-dimensional and 7-dimensional Riemannian g.o. manifolds constructed in previous published papers and we obtain pseudo-Riemannian g.o. manifolds. We describe geodesic graphs of correspondi...
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
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 Rande...
Pure mathematics
- 2020 •
- JSC •
- Link
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Výsledek na webu
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
New examples of Riemannian g.o. manifolds in dimension 7
Riemannian g.o. manifold is a homogeneous Riemannian manifold(M, g) on which every geodesic is an orbit of a one-parameter group ofisometries. It is known is naturally reductive. Indimension 6 thereare simply connected Riem...
BA - Obecná matematika
- 2004 •
- 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)
Geodesic graphs on special 7-dimensional g.o. manifolds.
In a previous paper, the present author and S. Nikčević constructed a 2-parameter family of 7-dimensional g.o.spaces which are not naturally reductive. Here we investigate the special values of parameters where the g.o.spaces are naturally reductive....
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A null geodesic orbit space whose null orbits require a reparametrization
We show an example of a Lorentzian manifold whose homogeneous geodesics form just the null cone and a hyperplane in the tangent space.
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
On 6-dimensional pseudo-Riemannian almost g.o. spaces
We modify the "Kaplan example" (a six-dimensional nilpotent Lie group which is a Riemannian g.o. space) and we obtain two pseudo-Riemannian homogeneous spaces with noncompact isotropy group. These examples have the property that all geodesic...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
New examples of g.o. spaces in dimension 7
New examples (especially compact ones)are found in dimension 7 of Riemannian manifolds on which all geodesics are orbits of 1-parameter groups of isometries and which are in no way naturally reductive....
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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