Characteristic numbers of positively curved spin-manifolds with symmetry
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Abstract:
Let $M$ be a $Spin$-manifold of positive sectional curvature and dimension $>8$. Suppose a compact connected Lie group $G$ acts smoothly on $M$. We show that the characteristic number $\hat A(M,TM)$ vanishes if $G$ contains two commuting involutions acting isometrically on $M$.References
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Additional Information
- Anand Dessai
- Affiliation: Department of Mathematics, University of Münster, D-48149 Münster, Germany
- MR Author ID: 630872
- Email: dessai@math.uni-muenster.de
- Received by editor(s): October 24, 2003
- Received by editor(s) in revised form: July 8, 2004
- Published electronically: June 6, 2005
- Communicated by: Jon G. Wolfson
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 3657-3661
- MSC (2000): Primary 53C20; Secondary 58J26
- DOI: https://doi.org/10.1090/S0002-9939-05-07928-1
- MathSciNet review: 2163604