N. Wu

activity

20092026

collaborators

5 papers

math.DG2026

Prüfer $2$ -group and Milnor's Conjecture on Fundamental Groups

Nan Wu, Zetian Yan

We construct complete, one-ended Riemannian manifolds in dimensions four and five having strictly positive Ricci curvature, with fundamental group isomorphic to the Prüfer $2$ -grou…

math.DG2026

A sharp relative comparison inequality for conformal fillings of Poincaré--Einstein manifolds

Nan Wu

Let $(X^{n + 1}, g_{+})$ be a Poincaré--Einstein manifold with conformal infinity $(M^{n}, [h])$ of positive Yamabe constant $Y (M, [h])$ . Then a relative comparison inequality \[ \frac{Y_1(…

math.DG2025

Energy reduction for Fourth order Willmore energy

Nan Wu, Zetian Yan

We introduce a fourth-order Willmore-type problem for closed four-dimensional submanifolds immersed in $R^{n}$ and establish a connected sum energy reduction for the general…

math.DG2019

Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation

Xuezhang Chen, Nan Wu

We first present a warped product manifold with boundary to show the non-uniqueness of the positive constant scalar curvature and positive constant boundary mean curvature equation…

math.CV2009

Common Borel radius of an algebroid function and its derivative

Nan Wu, Zuxing Xuan

In this article, by comparing the characteristic functions, we prove that for any $ν$ -valued algebroid function $w (z)$ defined in the unit disk with $\limsup_{r\to1-}T(r,w)/\log\fr…

Prüfer 2-group and Milnor's Conjecture on Fundamental Groups

A sharp relative comparison inequality for conformal fillings of Poincaré--Einstein manifolds

Energy reduction for Fourth order Willmore energy

Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation

Common Borel radius of an algebroid function and its derivative

Prüfer $2$ -group and Milnor's Conjecture on Fundamental Groups