Homogeneous Einstein metrics on generalized flag manifolds
Sp(n)/(U(p)×U(q)×Sp(n−p−q))

D 2011

Homogeneous Einstein metrics on generalized flag manifolds Sp(n)/(U(p)×U(q)×Sp(n−p−q))

ARVANITOYEORGOS, Andreas; Ioannis CHRYSIKOS a Yusuke SAKANE

Základní údaje

Originální název

Homogeneous Einstein metrics on generalized flag manifolds Sp(n)/(U(p)×U(q)×Sp(n−p−q))

Autoři

ARVANITOYEORGOS, Andreas; Ioannis CHRYSIKOS a Yusuke SAKANE

Vydání

Hackensack, NJ, Recent progress in differential geometry and its related fields : Proceedings of the 2nd International Colloquium on Differential Geometry and its Related Fields, od s. 1-24, 24 s. 2011

Nakladatel

World Scientific Publishing Co. Pte. Ltd.

Další údaje

Jazyk

angličtina

Typ výsledku

Stať ve sborníku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

tištěná verze "print"

Odkazy

URL

Označené pro přenos do RIV

ISBN

978-981-4355-46-9

DOI

https://doi.org/10.1142/9789814355476_0001

Klíčová slova anglicky

Homogeneous Einstein metric; Generalized flag manifold; Gröbner basis

Štítky

RIV ne

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 17. 4. 2024 09:25, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

We construct the Einstein equation for an invariant Riemannian metric on generalized flag manifolds Sp(n)/(U(p) × U(q) × Sp(n − p − q)). By computing a Gröbner basis for a system of polynomials on six variables, we prove that the generalized flag manifolds Sp(3)/(U(1) × U(1) × Sp(1)), Sp(4)/(U(1) × U(1) × Sp(2)) and Sp(4)/(U(2) × U(1) × Sp(1)) admit exactly three, six and two non-Kähler invariant Einstein metrics up to isometry, respectively.

Citovat

ARVANITOYEORGOS, Andreas; Ioannis CHRYSIKOS a Yusuke SAKANE. Homogeneous Einstein metrics on generalized flag manifolds Sp(n)/(U(p)×U(q)×Sp(n−p−q)). In Toshiaki Adachi, Hideya Hashimoto, Milen J Hristov. Recent progress in differential geometry and its related fields : Proceedings of the 2nd International Colloquium on Differential Geometry and its Related Fields. Hackensack, NJ: World Scientific Publishing Co. Pte. Ltd., 2011, s. 1-24. ISBN 978-981-4355-46-9. Dostupné z: https://doi.org/10.1142/9789814355476_0001.

@inproceedings{2394730,
   author = {Arvanitoyeorgos, Andreas and Chrysikos, Ioannis and Sakane, Yusuke},
   address = {Hackensack, NJ},
   booktitle = {Recent progress in differential geometry and its related fields : Proceedings of the 2nd International Colloquium on Differential Geometry and its Related Fields},
   doi = {https://doi.org/10.1142/9789814355476_0001},
   editor = {Toshiaki Adachi, Hideya Hashimoto, Milen J Hristov},
   keywords = {Homogeneous Einstein metric; Generalized flag manifold; Gröbner basis},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Hackensack, NJ},
   isbn = {978-981-4355-46-9},
   pages = {1-24},
   publisher = {World Scientific Publishing Co. Pte. Ltd.},
   title = {Homogeneous Einstein metrics on generalized flag manifolds Sp(n)/(U(p)×U(q)×Sp(n−p−q))},
   url = {https://www.worldscientific.com/doi/suppl/10.1142/8187/suppl_file/8187_chap01.pdf},
   year = {2011}
}

TY  - CONF
ID  - 2394730
AU  - Arvanitoyeorgos, Andreas - Chrysikos, Ioannis - Sakane, Yusuke
PY  - 2011
TI  - Homogeneous Einstein metrics on generalized flag manifolds Sp(n)/(U(p)×U(q)×Sp(n−p−q))
PB  - World Scientific Publishing Co. Pte. Ltd.
CY  - Hackensack, NJ
SN  - 9789814355469
KW  - Homogeneous Einstein metric
KW  - Generalized flag manifold
KW  - Gröbner basis
UR  - https://www.worldscientific.com/doi/suppl/10.1142/8187/suppl_file/8187_chap01.pdf
N2  - We construct the Einstein equation for an invariant Riemannian metric on generalized flag manifolds Sp(n)/(U(p) × U(q) × Sp(n − p − q)). By computing a Gröbner basis for a system of polynomials on six variables, we prove that the generalized flag manifolds Sp(3)/(U(1) × U(1) × Sp(1)), Sp(4)/(U(1) × U(1) × Sp(2)) and Sp(4)/(U(2) × U(1) × Sp(1)) admit exactly three, six and two non-Kähler invariant Einstein metrics up to isometry, respectively.
ER  -

ARVANITOYEORGOS, Andreas; Ioannis CHRYSIKOS a Yusuke SAKANE. Homogeneous Einstein metrics on generalized flag manifolds Sp(n)/(U(p)×U(q)×Sp(n−p−q)). In Toshiaki Adachi, Hideya Hashimoto, Milen J Hristov. \textit{Recent progress in differential geometry and its related fields : Proceedings of the 2nd International Colloquium on Differential Geometry and its Related Fields}. Hackensack, NJ: World Scientific Publishing Co. Pte. Ltd., 2011, s.~1-24. ISBN~978-981-4355-46-9. Dostupné z: https://doi.org/10.1142/9789814355476\_{}0001.

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