Výsledky vyhledávání - "Dusek, Zdenek"

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Structure of geodesics for Finsler metrics arising from Riemannian g.o. metrics

Autor: Arias-Marco, Teresa, Dusek, Zdenek

Homogeneous geodesics of homogeneous Finsler metrics derived from two or more Riemannian geodesic orbit metrics are investigated. For a broad newly defined family of positively related Riemannian geodesic orbit metrics, geodesic lemma is proved and i

Externí odkaz: http://arxiv.org/abs/2406.16736

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Geodesic graphs for geodesic orbit Finsler $(\alpha,\beta)$ metrics on spheres

Autor: Arias-Marco, Teresa, Dusek, Zdenek

Invariant geodesic orbit Finsler $(\alpha,\beta)$ metrics $F$ which arise from Riemannian geodesic orbit metrics $\alpha$ on spheres are determined. The relation of Riemannian geodesic graphs with Finslerian geodesic graphs proved in a previous work

Externí odkaz: http://arxiv.org/abs/2303.09368

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The minimal number of homogeneous geodesics depending on the signature of the Killing form

Autor: Dusek, Zdenek

The existence of at least two homogeneous geodesics in any homogeneous Finsler manifold was proved in a previous paper by the author. The examples of solvable Lie groups with invariant Finsler metric which admit just two homogeneous geodesics were pr

Externí odkaz: http://arxiv.org/abs/2104.06082

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The affine approach to homogeneous geodesics in homogeneous Finsler spaces

Autor: Dušek, Zdeněk

Publikováno v: Archivum Mathematicum (Brno) 54 (2018), 257-263

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 gro

Externí odkaz: http://arxiv.org/abs/1703.01199

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The existence of light-like homogeneous geodesics in homogeneous Lorentzian manifolds

Autor: Dušek, Zdeněk

Publikováno v: Math. Nachr. 288, 8-9 (2015), 872-876

In previous papers, a fundamental affine method for studying homogeneous geodesics was developed. Using this method and elementary differential topology it was proved that any homogeneous affine manifold and in particular any homogeneous pseudo-Riema

Externí odkaz: http://arxiv.org/abs/1203.6757

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