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math.DG2025
On minimizing surfaces of the CR invariant energy
Jih-Hsin Cheng, Hung-Lin Chiu, Paul Yang +1
We study a CR-invariant equation for vanishing surfaces in the 3-dimensional Heisenberg group. This is shown to be a hyperbolic equation. We prove the local uniqueness theore…
math.DG2025
On the Poincaré-Einstein manifolds with cylindrical conformal infinity
Sun-Yung Alice Chang, Paul Yang, Ruobing Zhang
In this paper, we prove several rigidity and quantitative rigidity results for asymptotically hyperbolic Poincaré-Einstein manifolds whose conformal infinities are diffeomorphic to…