Geodesic Rays in the Donaldson--Uhlenbeck--Yau Theorem

2022/10/17 by Jonsson, Mattias, McCleerey, Nicholas, Shivaprasad, Sanal · 1 citation
#32Q15 #58E15 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Primary: 53C07 #Secondary: 14J60

paper · doi:10.48550/arxiv.2210.09246

Abstract

We give new proofs of two implications in the Donaldson--Uhlenbeck--Yau theorem. Our proofs are based on geodesic rays of Hermitian metrics, inspired by recent work on the Yau--Tian--Donaldson conjecture.

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