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Rigidity theorems by the logarithmic capacity

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arxiv 2011.05273 v2 pith:BEC6O5V6 submitted 2020-11-10 math.CV math.DG

classification math.CVmath.DG
keywords capacitylogarithmicrigiditybergmanconcerningconjecturedistanceeuclidean
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In light of the Suita conjecture, we explore various rigidity phenomena concerning the Bergman kernel, logarithmic capacity, Green's function, and Euclidean distance and volume.

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