Einstein Metrics from Symmetry and Bundle Constructions: A Sequel
McKenzie Y. Wang
TL;DR
This survey reviews developments from 1999 to 2011 on constructing Einstein metrics using symmetry and bundle methods, highlighting progress in geometric analysis and differential geometry.
Contribution
It provides an updated comprehensive overview of new techniques and results in Einstein metric construction since the author's previous survey.
Findings
Advances in bundle construction methods for Einstein metrics
New examples of Einstein metrics with symmetries identified
Progress in understanding geometric structures supporting Einstein metrics
Abstract
This is a sequel to the survey given by the author in Surveys in Differential Geometry Vol. 6 in 1999. The present survey covers selected developments since 1999 to 2011 dealing with the construction of Einstein metrics on bundles and Einstein metrics with symmetries.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research