Xuezhang Chen

collaborators

2 papers

math.DG2026

Green function rigidity and the mass of hypersurfaces under inversion

Xuezhang Chen, Jiaxue Gan, Yalong Shi

This is a sequel to arXiv:2401.02087. We prove the Green function rigidity conjecture in arXiv:2401.02087 for conformal Laplacian in dimension $n \geq 3$ . For the Paneitz operator,…

math.DG2024

Green functions for GJMS operators on spheres, Gegenbauer polynomials and rigidity theorems

Xuezhang Chen, Yalong Shi

We derive explicit representation formulae of Green functions for GJMS operators on $n$ -spheres, including the fractional ones. These formulae have natural geometric interpretation…