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math.DG2009★ 1 cited
The Completion of the Manifold of Riemannian Metrics
Brian Clarke
We give a description of the completion of the manifold of all smooth Riemannian metrics on a fixed smooth, closed, finite-dimensional, orientable manifold with respect to a natura…
math.DG2009★ 15 cited
The Completion of the Manifold of Riemannian Metrics with Respect to its Metric
Brian Clarke
This is the author's Ph.D. thesis, submitted to the University of Leipzig. It deals with the Riemannian metric on the manifold of all smooth Riemannian metrics on a fixed clo…