Homogeneous Geodesics in 3-dimensional Homogeneous Affine Manifolds
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10099173" target="_blank" >RIV/00216208:11320/11:10099173 - isvavai.cz</a>
Alternative codes found
RIV/61989592:15310/11:33116728
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Homogeneous Geodesics in 3-dimensional 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 which works, at least potentially, in every given case. In the affine differential geometry, there is not such a universal formula. In the previous work, we proposed a simple method of investigation of homogeneous geodesics in homogeneous affine manifolds in dimension 2. In the present paper, we use this method on certain classes of homogeneous connectionson the examples of 3-dimensional Lie groups.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN
0231-9721
e-ISSN
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Volume of the periodical
56
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
13
Pages from-to
29-42
UT code for WoS article
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EID of the result in the Scopus database
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