Chengzhang Sun

collaborators

3 papers

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.GT2024

$L^{2}$ -torsion of fibrations

Chengzhang Sun

The paper studies the $L^{2}$ -torsion of fibrations, focusing on cases that relax acyclicity and the determinant class condition. We prove the sum formula and the product formula for…

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…

Positive mass theorems for singular asymptotically hyperbolic manifolds

L2-torsion of fibrations

Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces

$L^{2}$ -torsion of fibrations