Critical Metrics for Riemannian Curvature Functionals
Jeff A. Viaclovsky
TL;DR
This paper discusses key metrics related to Riemannian curvature functionals, providing insights into their properties and significance within geometric analysis, based on lectures from a 2013 summer program.
Contribution
It introduces critical metrics for Riemannian curvature functionals and offers new analytical perspectives from geometric analysis lectures.
Findings
Identification of key properties of critical metrics
Insights into the behavior of curvature functionals
Connections to geometric analysis problems
Abstract
This article is based upon lectures given at the 2013 IAS/Park City Mathematics Institute summer program in geometric analysis.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · History and Theory of Mathematics