New examples of Riemannian g.o. manifolds in dimension 7
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F04%3A00002401" target="_blank" >RIV/61989592:15310/04:00002401 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
New examples of Riemannian g.o. manifolds in dimension 7
Original language description
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 that every simply connected Riemannian g.o.manifold of dimension less or equal to 5 is naturally reductive. Indimension 6 thereare simply connected Riemannian g.o. manifolds which are in no waynaturally reductive, and their full classifcation is known (includingcompactexamples). In dimension 7, just one new example has been known up tonow (namely, a Riemannian nilmanifold constructed by C. Gordon). Inthe present paper we describe compact irreducible 7-dimensional Rieman-nian g.o. manifolds (together with their "noncompact duals") which arein no way naturally reductive.
Czech name
Nové příklady Riemannovských g. o. manifoldů v dimenzi 7
Czech description
Je známo, že každý jednoduše souvislý Riemannovský g.o. manifold dimenze nejvýše 5 je přirozeně reduktivní. V dimenzi 6 existují jednoduše souvislé Riemannovské g.o. manifoldy, které nejsou přirozeně reduktivní, a je známa jejich úplná klasifikace. V dimenzi 7 byl dosud znám jediný příklad. V článku se uvádí další takový příklad.
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
<a href="/en/project/GA201%2F02%2F0616" target="_blank" >GA201/02/0616: Computer-assisted research in differential geometry and applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Differential Geometry and its Applications
ISSN
0926-2245
e-ISSN
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Volume of the periodical
21
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
14
Pages from-to
65-78
UT code for WoS article
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EID of the result in the Scopus database
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