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Geodesic stability, the
space of rays and uniform convexity in Mabuchi geometry
Tamás Darvas and Chinh H Lu |
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Geometry & Topology 24 (2020) 1907–1967
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Abstract |
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We establish the essentially optimal form of Donaldson’s geodesic stability conjecture regarding existence of constant scalar curvature Kähler metrics. We carry this out by exploring in detail the metric geometry of Mabuchi geodesic rays, and the uniform convexity properties of the space of Kähler metrics. |
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Keywords
Kähler metrics, Mabuchi rays, stability
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Mathematical Subject Classification 2010
Primary: 32Q26, 32U05, 53C55
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References |
Publication
Received: 5 March 2019
Revised: 7 October 2019
Accepted: 4 November 2019
Published: 10 November 2020
Proposed: John Lott
Seconded: Simon Donaldson, Bruce Kleiner
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Authors |
| Tamás Darvas | |
| Department of Mathematics University of Maryland College Park, MD United States |
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| Chinh H Lu | |
| Laboratoire de Mathématiques
d’Orsay Univ. Paris-Sud, CNRS, Univ. Paris-Saclay Orsay France |
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