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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