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

Matthew J. Gursky, Jeffrey Streets

Type: Article

Publication Date: 2018-09-23

Citations: 25

DOI: https://doi.org/10.2140/gt.2018.22.3501

Abstract

We define a new formal Riemannian metric on a conformal classes of four-manifolds in the context of the 2 -Yamabe problem.Exploiting this new variational structure we show that solutions are unique unless the manifold is conformally equivalent to the round sphere.

Locations

arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
DataCite API - View
Geometry & Topology - View

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