Homogeneous Geodesics in Homogeneous Affine Manifolds

Result code in IS VaVaI

RIV/00216208:11320/09:00206804 - isvavai.cz

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Homogeneous Geodesics in Homogeneous Affine Manifolds

Original language description

For studying homogeneous geodesics in Riemannian and pseudo- Riemannian geometry (on reductive homogeneous spaces) there is a simple algebraic formula. In the affine differential geometry, there is not such an universal formula. In the present paper, wepropose a simple method of investigation of affine homogeneous geodesics. As an application, we prove, among others, the existence of homogeneous geodesics for all homogeneous affine manifolds in dimension 2.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

GA201/05/2707: Computer-assisted research in Riemannian and affine geometry

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Results in Mathematics

ISSN

1422-6383

e-ISSN

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Volume of the periodical

54

Issue of the periodical within the volume

neuvedeno

Country of publishing house

DE - GERMANY

Number of pages

16

Pages from-to

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UT code for WoS article

000268904700004

EID of the result in the Scopus database

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