New invariant Einstein metrics on generalized flag manifolds
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- by Andreas Arvanitoyeorgos PDF
- Trans. Amer. Math. Soc. 337 (1993), 981-995 Request permission
Abstract:
A generalized flag manifold (or a Kählerian $C$-space) is a homogeneous space $G/K$ whose isotropy subgroup $K$ is the centralizer of a torus in $G$. These spaces admit a finite number of Kähler-Einstein metrics. We present new non-Kahler Einstein metrics for certain quotients of $U(n)$, $SO(2n)$ and ${G_2}$. We also examine the isometry question for these metrics.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 337 (1993), 981-995
- MSC: Primary 53C25; Secondary 53C30
- DOI: https://doi.org/10.1090/S0002-9947-1993-1097162-3
- MathSciNet review: 1097162