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A note on rigidity of 3-Sasakian manifolds
Author(s):
Henrik
Pedersen;
Yat
Sun
Poon
Journal:
Proc. Amer. Math. Soc.
127
(1999),
3027-3034.
MSC (1991):
Primary 53C25;
Secondary 32G05, 53C55
Posted:
April 23, 1999
MathSciNet review:
1605929
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Abstract:
Making use of the relations among 3-Sasakian manifolds, hypercomplex manifolds and quaternionic Kähler orbifolds, we prove that complete 3-Sasakian manifolds are rigid.
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Additional Information:
Henrik
Pedersen
Affiliation:
Institut for Matematik og Datalogi, Odense Universitet, Campusvej 55, Odense M, DK-5230, Denmark
Email:
henrik@imada.ou.dk
Yat
Sun
Poon
Affiliation:
Department of Mathematics, University of California at Riverside, Riverside, California 92521
Email:
ypoon@math.ucr.edu
DOI:
10.1090/S0002-9939-99-04889-3
PII:
S 0002-9939(99)04889-3
Keywords:
Sasakian,
hypercomplex,
deformations
Received by editor(s):
December 4, 1997
Posted:
April 23, 1999
Additional Notes:
The first author was partially supported by NATO CRG-950040. The second author was partially supported by NSF grant DMS-9504908.
Communicated by:
Peter Li
Copyright of article:
Copyright
1999,
American Mathematical Society
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