Manifolds with an $SU(2)$-action on the tangent bundle
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Abstract:
We study manifolds arising as spaces of sections of complex manifolds fibering over ${\mathbb C}P^1$ with the normal bundle of each section isomorphic to $\mathcal {O}(k)\otimes {\mathbb C}^n$.References
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Additional Information
- Roger Bielawski
- Affiliation: Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland
- Email: R.Bielawski@maths.gla.ac.uk
- Received by editor(s): September 29, 2003
- Received by editor(s) in revised form: June 16, 2004
- Published electronically: August 1, 2005
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 358 (2006), 3997-4019
- MSC (2000): Primary 53C26, 53C28
- DOI: https://doi.org/10.1090/S0002-9947-05-03782-7
- MathSciNet review: 2219007