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A quasifibration of spaces of positive scalar curvature metrics

Author(s): Vladislav Chernysh
Journal: Proc. Amer. Math. Soc. 134 (2006), 2771-2777.
MSC (2000): Primary 58D17, 57R65
Posted: March 23, 2006
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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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Additional Information:

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

DOI: 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
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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