Quasiconvex foliations and asymptotically flat metrics of non-negative scalar curvature

Brian Smith; Gilbert Weinstein

doi:10.4310/CAG.2004.v12.n3.a2

Quasiconvex foliations and asymptotically flat metrics of non-negative scalar curvature

Brian Smith
, Gilbert Weinstein

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We prove that a broad subset of the space of asymptotically flat Riemannian metrics of nonnegative scalar curvature on ℝ³ is connected using a new method for prescribing scalar curvature that generalizes a method developed by Bartnik for quasi-spherical metrics.

Original language	English
Pages (from-to)	511-551
Number of pages	41
Journal	Communications in Analysis and Geometry
Volume	12
Issue number	3
DOIs	https://doi.org/10.4310/CAG.2004.v12.n3.a2
State	Published - Jul 2004
Externally published	Yes

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10.4310/CAG.2004.v12.n3.a2

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Quasiconvex foliations and asymptotically flat metrics of non-negative scalar curvature

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