If You Use a Screen Reader
This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Journal Article
Some New Homogeneous Einstein Metrics on Symmetric Spaces
Megan M. Kerr
Transactions of the American Mathematical Society
Vol. 348, No. 1 (Jan., 1996), pp. 153-171
Published
by: American Mathematical Society
https://www.jstor.org/stable/2155169
Page Count: 19
You can always find the topics here!
Topics: Isotropy, Curvature, Lie groups, Scalars, Tangents, Inner products, Riemann manifold, Symmetry, Subalgebras
Were these topics helpful?
Select the topics that are inaccurate.
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Abstract
We classify homogeneous Einstein metrics on compact irreducible symmetric spaces. In particular, we consider symmetric spaces with $\operatorname{rank}(M) > 1$, not isometric to a compact Lie group. Whenever there exists a closed proper subgroup G of $\operatorname{Isom}(M)$ acting transitively on M we find all G-homogeneous (non-symmetric) Einstein metrics on M.
Transactions of the American Mathematical Society
© 1996 American Mathematical Society