English

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

Differential Geometry 2022-11-22 v2 Complex Variables

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.

Cite

@article{arxiv.2210.09246,
  title  = {Geodesic Rays in the Donaldson--Uhlenbeck--Yau Theorem},
  author = {Mattias Jonsson and Nicholas McCleerey and Sanal Shivaprasad},
  journal= {arXiv preprint arXiv:2210.09246},
  year   = {2022}
}

Comments

24 pgs; v2: fixed some notational inconsistencies

R2 v1 2026-06-28T03:50:24.946Z