Homogeneous Einstein Metrics on Generalized Flag Manifolds with G_2-type T-Roots.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00067053" target="_blank" >RIV/00216224:14310/13:00067053 - isvavai.cz</a>
Result on the web
<a href="http://www.worldscientific.com/worldscibooks/10.1142/8929#t=aboutBook" target="_blank" >http://www.worldscientific.com/worldscibooks/10.1142/8929#t=aboutBook</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Homogeneous Einstein Metrics on Generalized Flag Manifolds with G_2-type T-Roots.
Original language description
We construct the Einstein equation for an invariant Riemannian metric on generalized flag manifolds G/K with G2-type t-roots. By computing a Gr¨obner basis for a system of polynomials on six variables, we prove that such a generalized flag manifold G/K,which is not the full flag manifold G2/T, admits exactly one invariant Kahler Einstein metric and six non Kahler invariant Einstein metrics up to isometry and scalar.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Prospects of Differential Geometry and Its Related Fields Proceedings of the 3rd International Colloquium on Differential Geometry and Its Related Fields
ISBN
9789814541824
ISSN
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e-ISSN
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Number of pages
24
Pages from-to
15-38
Publisher name
World Scientific Publishing Company
Place of publication
Veliko Tarnovo,
Event location
Veliko Tarnovo,
Event date
Jan 1, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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