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Einstein manifolds and contact geometry
Author(s):
Charles
P.
Boyer;
Krzysztof
Galicki
Journal:
Proc. Amer. Math. Soc.
129
(2001),
2419-2430.
MSC (2000):
Primary 53C25
Posted:
January 18, 2001
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Abstract:
We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.
References:
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Additional Information:
Charles
P.
Boyer
Affiliation:
Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
Email:
cboyer@math.unm.edu
Krzysztof
Galicki
Affiliation:
Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
Email:
galicki@math.unm.edu
DOI:
10.1090/S0002-9939-01-05943-3
PII:
S 0002-9939(01)05943-3
Received by editor(s):
December 16, 1999
Posted:
January 18, 2001
Additional Notes:
This work was partially supported by NSF grant DMS-9970904.
Communicated by:
Christopher Croke
Copyright of article:
Copyright
2001,
American Mathematical Society
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