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A deformation of quaternionic hyperbolic space
Author(s):
Megan
M.
Kerr
Journal:
Proc. Amer. Math. Soc.
134
(2006),
559-569.
MSC (2000):
Primary 53C30, 53C25
Posted:
July 8, 2005
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Abstract:
We construct a continuous family of new homogeneous Einstein spaces with negative Ricci curvature, obtained by deforming from the quaternionic hyperbolic space of real dimension 12. We give an explicit description of this family, which is made up of Einstein solvmanifolds which share the same algebraic structure (eigenvalue type) as the rank one symmetric space  . This deformation includes a continuous family of new homogeneous Einstein spaces with negative sectional curvature.
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Additional Information:
Megan
M.
Kerr
Affiliation:
Department of Mathematics, Wellesley College, 106 Central St., Wellesley, Massachusetts 02481
Email:
mkerr@wellesley.edu
DOI:
10.1090/S0002-9939-05-08022-6
PII:
S 0002-9939(05)08022-6
Keywords:
Differential geometry,
Lie groups
Received by editor(s):
February 1, 2002
Received by editor(s) in revised form:
September 28, 2004
Posted:
July 8, 2005
Additional Notes:
The author was supported by the Clare Boothe Luce Foundation and by the Radcliffe Institute for Advanced Study.
Communicated by:
Jon G. Wolfson
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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