Abstract
The aim of this introductory chapter is to present some basic aspects of analysis and topology for the space R(M) of complete Riemannian metrics on a smooth manifold M. We also consider the corresponding moduli space M(M), which is the quotient of R(M) by the action of the diffeomorphism group Diff(M).
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© 2015 Springer Basel
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Tuschmann, W., Wraith, D.J. (2015). Spaces of metrics. In: Moduli Spaces of Riemannian Metrics. Oberwolfach Seminars, vol 46. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0948-1_1
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DOI: https://doi.org/10.1007/978-3-0348-0948-1_1
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0947-4
Online ISBN: 978-3-0348-0948-1
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