Survey: Homogeneous Einstein Manifolds
Michael Jablonski
TL;DR
This survey reviews the latest developments in the classification and understanding of homogeneous Einstein manifolds, updating previous comprehensive surveys from Wang and Lauret.
Contribution
It provides an updated overview of the current state of research on homogeneous Einstein spaces, highlighting recent progress and open problems.
Findings
Summarizes recent classifications of homogeneous Einstein manifolds
Identifies key open questions in the field
Highlights new examples and non-existence results
Abstract
This survey builds on the two surveys by Wang and Lauret written almost a decade ago to give the current state of affairs regarding homogeneous Einstein spaces.
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Advanced Differential Geometry Research