| ARVANITOYEORGOS, Andreas a Ioannis CHRYSIKOS. Invariant Einstein metrics on generalized flag manifolds with two isotropy summands. Journal of the Australian Mathematical Society. Cambridge University Press, 2011, roč. 90, č. 2, s. 237-251. ISSN 1446-7887. Dostupné z: https://dx.doi.org/10.1017/S1446788711001303. |
Další formáty:
BibTeX
LaTeX
RIS
@article{2394723,
author = {Arvanitoyeorgos, Andreas and Chrysikos, Ioannis},
article_number = {2},
doi = {http://dx.doi.org/10.1017/S1446788711001303},
keywords = {Einstein manifold; homogeneous space; generalized flag manifold; isotropy representation; highest weight; Weyl's formula; bordered Hessian},
language = {eng},
issn = {1446-7887},
journal = {Journal of the Australian Mathematical Society},
title = {Invariant Einstein metrics on generalized flag manifolds with two isotropy summands},
url = {https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/invariant-einstein-metrics-on-generalized-flag-manifolds-with-two-isotropy-summands/5731CF86712F8CDF4C1B98B30A6031A2},
volume = {90},
year = {2011}
}
TY - JOUR
ID - 2394723
AU - Arvanitoyeorgos, Andreas - Chrysikos, Ioannis
PY - 2011
TI - Invariant Einstein metrics on generalized flag manifolds with two isotropy summands
JF - Journal of the Australian Mathematical Society
VL - 90
IS - 2
SP - 237-251
EP - 237-251
PB - Cambridge University Press
SN - 14467887
KW - Einstein manifold
KW - homogeneous space
KW - generalized flag manifold
KW - isotropy representation
KW - highest weight
KW - Weyl's formula
KW - bordered Hessian
UR - https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/invariant-einstein-metrics-on-generalized-flag-manifolds-with-two-isotropy-summands/5731CF86712F8CDF4C1B98B30A6031A2
N2 - Let M=G/K be a generalized flag manifold, that is, an adjoint orbit of a compact, connected and semisimple Lie group G. We use a variational approach to find non-Kähler homogeneous Einstein metrics for flag manifolds with two isotropy summands. We also determine the nature of these Einstein metrics as critical points of the scalar curvature functional under fixed volume.
ER -
ARVANITOYEORGOS, Andreas a Ioannis CHRYSIKOS. Invariant Einstein metrics on generalized flag manifolds with two isotropy summands. \textit{Journal of the Australian Mathematical Society}. Cambridge University Press, 2011, roč.~90, č.~2, s.~237-251. ISSN~1446-7887. Dostupné z: https://dx.doi.org/10.1017/S1446788711001303.
|
