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A quasifibration of spaces of positive scalar curvature metrics
Author:
Vladislav Chernysh
Journal:
Proc. Amer. Math. Soc. 134 (2006), 2771-2777
MSC (2000):
Primary 58D17, 57R65
Posted:
March 23, 2006
MathSciNet review:
2213758
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Abstract: In this paper we show that for Riemannian manifolds with boundary the natural restriction map is a quasifibration between spaces of metrics of positive scalar curvature. We apply this result to study homotopy properties of spaces of such metrics on manifolds with boundary.
References
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Vladislav Chernysh, On the homotopy type of the space
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Additional Information
Vladislav Chernysh
Affiliation:
Mathematisches Institut, Georg-August-Universität Göttingen, Bunsenstrasse 3-5, 37073 Göttingen, Germany
Email:
vchernys@uni-math.gwdg.de
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08539-X
PII:
S 0002-9939(06)08539-X
Received by editor(s):
May 23, 2004
Received by editor(s) in revised form:
April 14, 2005
Posted:
March 23, 2006
Communicated by:
Alexander N. Dranishnikov
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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