A quasifibration of spaces of positive scalar curvature metrics

Chernysh, Vladislav

doi:10.1090/S0002-9939-06-08539-X

A quasifibration of spaces of positive scalar curvature metrics
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Proc. Amer. Math. Soc. 134 (2006), 2771-2777 Request permission

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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