Chengzhang Sun

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math.DG2026

Positive mass theorems for singular asymptotically hyperbolic manifolds

Yuguang Shi, Chengzhang Sun, Zijun Wang

Through a careful analysis of the Yamabe equation on singular spaces, we establish a positive mass theorem for singular asymptotically hyperbolic manifolds with arbitrary ends. We…

math.DG2024

Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces

Chengzhang Sun

For a parabolically convex domain $M \subseteq H^{n}$ , $n \geq 3$ , we prove that if $f : (N, g ˉ) \to (M, g)$ has nonzero degree, where $N$ is spin with scalar curvature $R_N\ge…