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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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
DOI: https://doi.org/10.1090/S0002-9939-06-08539-X
Published electronically: 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.


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Vladislav Chernysh
Affiliation: Mathematisches Institut, Georg-August-Universität Göttingen, Bunsenstrasse 3-5, 37073 Göttingen, Germany
Email: vchernys@uni-math.gwdg.de

DOI: https://doi.org/10.1090/S0002-9939-06-08539-X
Received by editor(s): May 23, 2004
Received by editor(s) in revised form: April 14, 2005
Published electronically: March 23, 2006
Communicated by: Alexander N. Dranishnikov
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.