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Moduli Spaces of Riemannian Metrics by Wilderich Tuschmann, David J. Wraith

Moduli Spaces of Riemannian Metrics Wilderich Tuschmann, David J. Wraith ebook
Page: 123
ISBN: 9783034809474
Format: pdf
Publisher: Springer Basel

We describe some recent progress in the study of moduli space of Riemann surfaces in this survey paper. Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures. There is a natural Riemannian metric on M called the L2 metric and denoted by (· , ·). Therefore the moduli space of compact Riemann surfaces is alsothe moduli space of complex algebraic Appendix: Hyperbolic metric and Möbius groups. For example—to the theory of Teichmüller and moduli spaces for Riemann. Introduction: Moduli Spaces of Riemann Surfaces, AG vs DG. With certain geometric assumptions, the moduli space can be compactified by adding metrics with orbifold singularities. 4.2 The Petersson-Weil Metric for Families of Singular Riemann Surfaces . This monograph deals with recent questions of conformal geometry. This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. In this thesis, we give two constructions for Riemannian metrics on Seiberg- Witten moduli spaces M.