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 -quotients of quaternion-Kähler manifolds
Author(s):
Fiammetta
Battaglia
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2185-2192.
MSC (1991):
Primary 53C25;
Secondary 58F05
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Abstract:
The notion of symplectic reduction has been generalized to manifolds endowed with other structures, in particular to quaternion-Kähler manifolds, namely Riemannian manifolds with holonomy in  . In this work we prove that the only complete quaternion-Kähler manifold with positive scalar curvature obtainable as a quaternion-Kähler quotient by a circle action is the complex Grassmannian  .
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Additional Information:
Fiammetta
Battaglia
Affiliation:
Dipartimento di Matematica Applicata G. Sansone via S. Marta 3 50139 Firenze Italy.
Email:
fiamma@ingfi1.ing.unifi.it
DOI:
10.1090/S0002-9939-96-03208-X
PII:
S 0002-9939(96)03208-X
Keywords:
Quaternion-K\"ahler manifolds,
moment map,
reduction
Received by editor(s):
April 5, 1994
Received by editor(s) in revised form:
December 16, 1994
Communicated by:
Christopher Croke
Copyright of article:
Copyright
1996,
American Mathematical Society
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