N. Wu

activity

20092026

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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(…

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

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

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