| 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://dx.doi.org/10.1007/s10455-010-9221-5. |
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@article{2394720,
author = {Arvanitoyeorgos, Andreas and Chrysikos, Ioannis and Sakane, Yusuke},
article_location = {Springer P.O. AH Dordrecht},
article_number = {4},
doi = {http://dx.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://dx.doi.org/10.1007/s10455-010-9221-5.
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