Complete description of invariant Einstein metrics on the
generalized flag manifold SO(2n)/U(p) × U(n − p)

J 2010

Complete description of invariant Einstein metrics on the generalized flag manifold SO(2n)/U(p) × U(n − p)

ARVANITOYEORGOS, Andreas; Ioannis CHRYSIKOS a Yusuke SAKANE

Základní údaje

Originální název

Complete description of invariant Einstein metrics on the generalized flag manifold SO(2n)/U(p) × U(n − p)

Autoři

ARVANITOYEORGOS, Andreas; Ioannis CHRYSIKOS a Yusuke SAKANE

Vydání

Annals of Global Analysis and Geometry, Springer P.O. AH Dordrecht, Springer, 2010, 0232-704X

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 0.635

Označené pro přenos do RIV

Klíčová slova anglicky

Homogeneous manifold; Einstein metric; Generalized flag manifold; Algebraic systems of equations; Resultant

Štítky

RIV ne

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 17. 4. 2024 08:59, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

We find the precise number of non-Kähler SO(2n)-invariant Einstein metrics on the generalized flag manifold M = SO(2n)/U(p)×U(n−p) with n ≥ 4 and 2 ≤ p ≤ n−2. We use an analysis on parametric systems of polynomial equations and we give some insight towards the study of such systems. We also examine the isometric problem for these Einstein metrics.

Citovat

ARVANITOYEORGOS, Andreas; Ioannis CHRYSIKOS a Yusuke SAKANE. Complete description of invariant Einstein metrics on the generalized flag manifold SO(2n)/U(p) × U(n − p). Annals of Global Analysis and Geometry. Springer P.O. AH Dordrecht: Springer, 2010, roč. 38, č. 4, s. 413-438. ISSN 0232-704X. Dostupné z: https://doi.org/10.1007/s10455-010-9221-5.

@article{2394720,
   author = {Arvanitoyeorgos, Andreas and Chrysikos, Ioannis and Sakane, Yusuke},
   article_location = {Springer P.O. AH Dordrecht},
   article_number = {4},
   doi = {https://doi.org/10.1007/s10455-010-9221-5},
   keywords = {Homogeneous manifold; Einstein metric; Generalized flag manifold; Algebraic systems of equations; Resultant},
   language = {eng},
   issn = {0232-704X},
   journal = {Annals of Global Analysis and Geometry},
   title = {Complete description of invariant Einstein metrics on the generalized flag manifold SO(2n)/U(p) × U(n − p)},
   url = {https://link.springer.com/article/10.1007/s10455-010-9221-5},
   volume = {38},
   year = {2010}
}

TY  - JOUR
ID  - 2394720
AU  - Arvanitoyeorgos, Andreas - Chrysikos, Ioannis - Sakane, Yusuke
PY  - 2010
TI  - Complete description of invariant Einstein metrics on the generalized flag manifold SO(2n)/U(p) × U(n − p)
JF  - Annals of Global Analysis and Geometry
VL  - 38
IS  - 4
SP  - 413-438
EP  - 413-438
PB  - Springer
SN  - 0232704X
KW  - Homogeneous manifold
KW  - Einstein metric
KW  - Generalized flag manifold
KW  - Algebraic systems of equations
KW  - Resultant
UR  - https://link.springer.com/article/10.1007/s10455-010-9221-5
N2  - We find the precise number of non-Kähler SO(2n)-invariant Einstein metrics on the generalized flag manifold M = SO(2n)/U(p)×U(n−p) with n ≥ 4 and 2 ≤ p ≤ n−2. We use an analysis on parametric systems of polynomial equations and we give some insight towards the study of such systems. We also examine the isometric problem for these Einstein metrics.
ER  -

ARVANITOYEORGOS, Andreas; Ioannis CHRYSIKOS a Yusuke SAKANE. Complete description of invariant Einstein metrics on the generalized flag manifold SO(2n)/U(p) × U(n − p). \textit{Annals of Global Analysis and Geometry}. Springer P.O. AH Dordrecht: Springer, 2010, roč.~38, č.~4, s.~413-438. ISSN~0232-704X. Dostupné z: https://doi.org/10.1007/s10455-010-9221-5.

Přehled o publikaci