Construction of Einstein metrics by generalized Dehn filling
Richard H. Bamler
TL;DR
This paper introduces a novel method for constructing Einstein metrics through a generalized Dehn filling technique, providing an analytic proof of Thurston's 3-dimensional results.
Contribution
It generalizes Thurston's Dehn filling approach to construct Einstein metrics and offers an analytic proof in three dimensions.
Findings
Successfully constructs Einstein metrics via generalized Dehn filling
Provides an analytic proof of Thurston's 3D results
Extends the applicability of Dehn filling techniques
Abstract
In this paper, we present a new approach to the construction of Einstein metrics by a generalization of Thurston's Dehn filling. In particular in dimension 3, we will obtain an analytic proof of Thurston's result.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology