Homogeneous Einstein Metrics on Generalized Flag Manifolds with
G(2)-type T-Roots

D 2013

Homogeneous Einstein Metrics on Generalized Flag Manifolds with G(2)-type T-Roots

CHRYSIKOS, Ioannis; Andreas ARVANITOYEORGOS a Yusuke SAKANE

Základní údaje

Originální název

Homogeneous Einstein Metrics on Generalized Flag Manifolds with G(2)-type T-Roots

Autoři

CHRYSIKOS, Ioannis; Andreas ARVANITOYEORGOS a Yusuke SAKANE

Vydání

SINGAPORE, Prospects of Differential Geometry and Its Related Fields Proceedings of the 3rd International Colloquium on Differential Geometry and Its Related Fields, od s. 15-38, 24 s. 2013

Nakladatel

World Scientific Publishing Company

Další údaje

Jazyk

angličtina

Typ výsledku

Stať ve sborníku

Obor

10101 Pure mathematics

Stát vydavatele

Singapur

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

elektronická verze "online"

Odkazy

URL

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/13:00067053

Organizační jednotka

Přírodovědecká fakulta

ISBN

978-981-4541-82-4

DOI

https://doi.org/10.1142/9789814541817_0002

UT WoS

000337059500002

Klíčová slova anglicky

Homogeneous Einstein metric Generalized flag manifold Riemannian submersion Grobner basis

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 26. 8. 2020 09:08, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

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.

Návaznosti

GBP201/12/G028, projekt VaV

Název: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Investor: Grantová agentura ČR, Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Citovat

CHRYSIKOS, Ioannis; Andreas ARVANITOYEORGOS a Yusuke SAKANE. Homogeneous Einstein Metrics on Generalized Flag Manifolds with G(2)-type T-Roots. Online. In Toshiaki Adachi. Prospects of Differential Geometry and Its Related Fields Proceedings of the 3rd International Colloquium on Differential Geometry and Its Related Fields. SINGAPORE: World Scientific Publishing Company, 2013, s. 15-38. ISBN 978-981-4541-82-4. Dostupné z: https://doi.org/10.1142/9789814541817_0002.

@inproceedings{1174180,
   author = {Chrysikos, Ioannis and Arvanitoyeorgos, Andreas and Sakane, Yusuke},
   address = {SINGAPORE},
   booktitle = {Prospects of Differential Geometry and Its Related Fields Proceedings of the 3rd International Colloquium on Differential Geometry and Its Related Fields},
   doi = {https://doi.org/10.1142/9789814541817_0002},
   editor = {Toshiaki Adachi},
   keywords = {Homogeneous Einstein metric Generalized flag manifold Riemannian submersion Grobner basis},
   howpublished = {elektronická verze "online"},
   language = {eng},
   location = {SINGAPORE},
   isbn = {978-981-4541-82-4},
   pages = {15-38},
   publisher = {World Scientific Publishing Company},
   title = {Homogeneous Einstein Metrics on Generalized Flag Manifolds with G(2)-type T-Roots},
   url = {https://www.worldscientific.com/doi/abs/10.1142/9789814541817_0002},
   year = {2013}
}

TY  - CONF
ID  - 1174180
AU  - Chrysikos, Ioannis - Arvanitoyeorgos, Andreas - Sakane, Yusuke
PY  - 2013
TI  - Homogeneous Einstein Metrics on Generalized Flag Manifolds with G(2)-type T-Roots
PB  - World Scientific Publishing Company
CY  - SINGAPORE
SN  - 9789814541824
KW  - Homogeneous Einstein metric Generalized flag manifold Riemannian submersion Grobner basis
UR  - https://www.worldscientific.com/doi/abs/10.1142/9789814541817_0002
L2  - https://www.worldscientific.com/doi/abs/10.1142/9789814541817_0002
N2  - 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.
ER  -

CHRYSIKOS, Ioannis; Andreas ARVANITOYEORGOS a Yusuke SAKANE. Homogeneous Einstein Metrics on Generalized Flag Manifolds with G(2)-type T-Roots. Online. In Toshiaki Adachi. \textit{Prospects of Differential Geometry and Its Related Fields Proceedings of the 3rd International Colloquium on Differential Geometry and Its Related Fields}. SINGAPORE: World Scientific Publishing Company, 2013, s.~15-38. ISBN~978-981-4541-82-4. Dostupné z: https://doi.org/10.1142/9789814541817\_{}0002.

Přehled o publikaci