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Characteristic numbers of positively curved spin-manifolds with symmetry
Author(s):
Anand
Dessai
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3657-3661.
MSC (2000):
Primary 53C20;
Secondary 58J26
Posted:
June 6, 2005
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Abstract:
Let  be a  -manifold of positive sectional curvature and dimension  . Suppose a compact connected Lie group  acts smoothly on  . We show that the characteristic number  vanishes if  contains two commuting involutions acting isometrically on  .
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Additional Information:
Anand
Dessai
Affiliation:
Department of Mathematics, University of Münster, D-48149 Münster, Germany
Email:
dessai@math.uni-muenster.de
DOI:
10.1090/S0002-9939-05-07928-1
PII:
S 0002-9939(05)07928-1
Keywords:
Positive curvature,
equivariant index theory,
elliptic genera
Received by editor(s):
October 24, 2003
Received by editor(s) in revised form:
July 8, 2004
Posted:
June 6, 2005
Communicated by:
Jon G. Wolfson
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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