conformal geometry 1escobar-yamabe compactification 1poincaré-einstein manifolds 1relative comparison inequality 1yamabe problem 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.DG2026
A sharp relative comparison inequality for conformal fillings of Poincaré--Einstein manifolds
Nan Wu
The paper proves a sharp relative comparison inequality for the type‑I Escobar–Yamabe invariant of a conformal filling of a Poincaré–Einstein manifold, relating it to the Yamabe in…
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 and establish a connected sum energy reduction for the general…