Naturality of homogeneous metrics on Stiefel manifolds SO(m+1)/SO(m-1)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10049883" target="_blank" >RIV/00216208:11320/10:10049883 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Naturality of homogeneous metrics on Stiefel manifolds SO(m+1)/SO(m-1)
Original language description
It is well known that the unit tangent sphere bundle T_1SM of the standard sphere S^m can be naturally identified with the Stiefel manifold V_2R^m+1 = SO(m + 1)/SO(m - 1). In this paper, we construct the (1-1) correspondence between all SO(m + 1)-invariant homogeneous metrics on V_2R^m+1 and all so-called g-natural metrics on T_1SM.
Czech name
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Czech description
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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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Project
<a href="/en/project/GA201%2F05%2F2707" target="_blank" >GA201/05/2707: Computer-assisted research in Riemannian and affine geometry</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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