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arxiv: 1409.7896 · v1 · pith:EDCASKY2new · submitted 2014-09-28 · 🧮 math.DG · math.CV

Approximation of weak geodesics and subharmonicity of Mabuchi energy

Xiuxiong Chen , Long Li , Mihai Paun This is my paper
classification 🧮 math.DG math.CV
keywords geodesicsweakapproximationmabuchialonganalysingcontinuityconvexity
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We are analysing the convexity and continuity properties of the Mabuchi functional along weak geodesics. The key technical point in our paper is the global approximation of weak geodesics obtained via a well-chosen family of Monge-Amp\`ere equations.

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