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math.DG2022★ 1 cited
Geodesic Rays in the Donaldson--Uhlenbeck--Yau Theorem
Mattias Jonsson, Nicholas McCleerey, Sanal Shivaprasad
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--Tia…
math.DG2019
regularity of geodesics of singular Kähler metrics
Jianchun Chu, Nicholas McCleerey
We show the optimal regularity of geodesics in nef and big cohomology class on Kähler manifolds away from the non-Kähler locus, assuming sufficiently regular initial data…