Kai Zhang

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math.DG2026

Asymptotic behavior at infinity of Weingarten surfaces

Aires E. M. Barbieri, JosÃ© A. GÃ¡lvez, Yuanyuan Lian +1

We derive the asymptotic expansion at infinity for embedded ends of uniformly elliptic Weingarten surfaces with finite total curvature in $R^{3}$ , and we establish a maximum…

math.DG2025

Conformal extremal metrics and constant scalar curvature

Xiaokui Yang, Kaijie Zhang

Let $M$ be a compact complex manifold of dimension $n \geq 2$ . We prove that for any Hermitian metric $I ¨ $ on $M$ , there exists a unique smooth function $f$ (up to additive constant…