Ricci flat Kahler metrics with edge singularities
S. Brendle
TL;DR
This paper constructs Ricci flat Kähler metrics with cone singularities along hypersurfaces, extending previous theories and utilizing recent linear analysis developments.
Contribution
It introduces a method to build Ricci flat Kähler metrics with edge singularities, inspired by Mazzeo's program and Donaldson's linear theory.
Findings
Successfully constructs Ricci flat Kähler metrics with cone singularities
Extends existing theories to new singularity settings
Utilizes advanced linear analysis techniques
Abstract
We construct Ricci flat Kahler metrics with cone singularities along a complex hypersurface. This construction is inspired in part by R. Mazzeo's program in the case of negative Einstein constant, and uses the linear theory developed recently by S. Donaldson.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Differential Geometry Research