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Moduli Spaces of Riemannian Metrics Wilderich Tuschmann, David J. Wraith
Publisher: Springer Basel

4.2 The Petersson-Weil Metric for Families of Singular Riemann Surfaces . The moduli spaces of self-dual connections on vector bundles over a Riemannian The relevant Riemannian metric on the moduli space M is the "L2 metric",. We give a criterion for the non-degeneracy of the symmetric tensor field on the moduli space of symplectic structures that was introduced in [J. Homotopy groups of the moduli spaces of Riemannian metrics of positive scalar curvature on closed smooth manifolds can be non-trivial. Orbifolds The Bijection between the Moduli Space and the Space of Metric. We describe some recent progress in the study of moduli space of Riemann surfaces in this survey paper. Abstract: We consider the moduli space of the extremal K\"ahler metrics on compact manifolds. MODULI SPACES OF CRITICAL RIEMANNIAN METRICS IN. There are many very famous classical metrics. The Moduli Space of Riemann Surfaces with Marked Points. Moduli spaces and Teichmüller spaces of Rie- mann surfaces have been studied for many many years, since Riemann. We consider the moduli space of a class of critical metrics on compact manifolds that includes extremal Kähler metrics. This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. A Riemannian metric is a section g of T2M which is everywhere sym- metric and The moduli space of Einstein metrics on M, denoted E(M),. The geometry of the Teichmüller spaces and moduli spaces of Riemann surfaces also have very rich structures. We show that under the conditions of vo. For example—to the theory of Teichmüller and moduli spaces for Riemann. Metrics on the Teichm\"uller and the moduli spaces of Riemann surfaces. There is a natural Riemannian metric on M called the L2 metric and denoted by (· , ·).