The Riemannian L 2 topology on the manifold of Riemannian metrics-Reference-Cited by-同舟云学术

The Riemannian L 2 topology on the manifold of Riemannian metrics

Published:2010-09-25 Issue:2 Volume:39 Page:131-163
ISSN:0232-704X
Container-title:Annals of Global Analysis and Geometry
language:en
Short-container-title:Ann Glob Anal Geom

Author:

Clarke Brian

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10455-010-9227-z.pdf

Reference13 articles.

1. Bogachev V.I.: Measure Theory, vols. I & II. Springer, Berlin (2007)

2. Bourguignon J.-P.: Une stratification de l’espace des structures riemanniennes. Compos. Math. 30(1), 1–41 (1975)

3. Clarke, B.: The completion of the manifold of Riemannian metrics with respect to its L 2 metric. Ph.D. Thesis, University of Leipzig, 2009, http://arxiv.org/abs/0904.0159v1

4. Clarke, B.: The completion of the manifold of Riemannian metrics, preprint, http://arxiv.org/abs/0904.0177v1

5. Clarke, B.: The metric geometry of the manifold of Riemannian metrics. Calc. Var. Partial Differential Equations, pp.1–13. Springer, Berlin/Heidelberg (2010)

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