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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

Some New Homogeneous Einstein Metrics on Symmetric Spaces

Author(s): Megan M. Kerr
Journal: Trans. Amer. Math. Soc. 348 (1996), 153-171.
MSC (1991): Primary 53C25; Secondary 53C30, 53C35
MathSciNet review: 1327258
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Abstract | References | Similar articles | Additional information

Abstract: We classify homogeneous Einstein metrics on compact irreducible symmetric spaces. In particular, we consider symmetric spaces with rank$(M)> 1$, not isometric to a compact Lie group. Whenever there exists a closed proper subgroup $G$ of Isom$(M)$ acting transitively on $M$ we find all $G$-homogeneous (non-symmetric) Einstein metrics on $M$.


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Additional Information:

Megan M. Kerr
Affiliation: Department of Mathematics, University of Pennsylvania, 209 S. 33rd Street, Philadelphia, Pennsylvania 19104-6395
Address at time of publication: Department of Mathematics, Dartmouth College, Hanover, New Hampshire 0375
Email: megan@math.upenn.edu

DOI: 10.1090/S0002-9947-96-01512-7
PII: S 0002-9947(96)01512-7
Received by editor(s): August 29, 1994
Copyright of article: Copyright 1996, American Mathematical Society




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