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math.DG2022
Geometric structure and existence of reducible spherical conical metrics
Zhiqiang Wei, Yingyi Wu, Bin Xu
A conformal metric with finitely many conical singularities of constant Gaussian curvature on a compact Riemann surface is referred to as a spherical conical m…
math.DG2022
Realization of HCMU metrics in 3-dimensional space forms as Weingarten surfaces
Zhiqiang Wei, Yingyi Wu
In \cite{WeiWu22-3} (J.Geom.Anal.32, 199(2022)), we classified HCMU surfaces in 3-dimensional Euclidean space as Weingarten surfaces by holomorphic functions. In this paper, using…
math.AG2022
Moduli spaces of SUSY curves and their operads
Enno Keßler, Yuri I. Manin, Yingying Wu
This article generalizes the operad of moduli spaces of curves to SUSY curves. SUSY curves are algebraic curves with additional supersymmetric or supergeometric structure. Here, we…