The K\"ahler-Ricci flow on compact K\"ahler manifolds
Ben Weinkove
TL;DR
This paper provides an accessible introduction to the K"ahler-Ricci flow on compact K"ahler manifolds, explaining its fundamental concepts and significance in complex differential geometry.
Contribution
It offers a comprehensive, beginner-friendly overview of the K"ahler-Ricci flow, highlighting its mathematical structure and applications.
Findings
Introduces the K"ahler-Ricci flow in a clear, pedagogical manner
Explains the flow's role in complex geometry and metric evolution
Provides foundational knowledge for further research in K"ahler geometry
Abstract
These notes are based on a lecture series given at the Park City Math Institute in the summer of 2013. The notes are intended as a leisurely introduction to the K\"ahler-Ricci flow on compact K\"ahler manifolds, aimed at graduate students with some background in differential geometry.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory