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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on rigidity of 3-Sasakian manifolds
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by Henrik Pedersen and Yat Sun Poon PDF
Proc. Amer. Math. Soc. 127 (1999), 3027-3034 Request permission

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.
References
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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
  • Received by editor(s): December 4, 1997
  • Published electronically: 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 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 3027-3034
  • MSC (1991): Primary 53C25; Secondary 32G05, 53C55
  • DOI: https://doi.org/10.1090/S0002-9939-99-04889-3
  • MathSciNet review: 1605929