A formal Riemannian structure on conformal classes and uniqueness for the $\sigma_{2}$-Yamabe problem

Jeffrey Streets; Matthew J. Gursky

arxiv: 1603.07005 · v1 · pith:23B4XWSXnew · submitted 2016-03-22 · 🧮 math.DG · math.AP

A formal Riemannian structure on conformal classes and uniqueness for the σ₂-Yamabe problem

Matthew J. Gursky , Jeffrey Streets This is my paper

classification 🧮 math.DG math.AP

keywords classesconformalformalproblemriemanniansigmastructureyamabe

0 comments

read the original abstract

We define a new formal Riemannian metric on a conformal classes of four-manifolds in the context of the $\sigma_2$-Yamabe problem. Exploiting this new variational structure we show that solutions are unique unless the manifold is conformally equivalent to the round sphere.

This paper has not been read by Pith yet.

A formal Riemannian structure on conformal classes and uniqueness for the σ₂-Yamabe problem

discussion (0)