@article{5c6deef1c13349bdb7d020c45d3db80e,
title = "A Splitting Theorem for Scalar Curvature",
abstract = "We show that a Riemannian 3-manifold with nonnegative scalar curvature is flat if it contains an area-minimizing cylinder. This scalar-curvature analogue of the classical splitting theorem of J. Cheeger and D. Gromoll (1971) was conjectured by D. Fischer-Colbrie and R. Schoen (1980) and by M. Cai and G. Galloway (2000).",
author = "Otis Chodosh and Michael Eichmair and Vlad Moraru",
note = "Funding Information: Acknowledgment. We would like to thank Richard Bamler, Gregory Galloway, John Pardon, Leon Simon, and Brian White for valuable discussions. The work of Otis Chodosh has been supported by EPSRC Grant EP/K00865X/1, by the Oswald Veblen Fund, and by National Science Foundation Grant No. 1638352. The work of Michael Eichmair has been supported by the START-Project Y963-N35 of the Austrian Science Fund (FWF). Publisher Copyright: {\textcopyright} 2018 the Authors. Communications on Pure and Applied Mathematics is published by the Courant Institute of Mathematical Sciences and Wiley Periodicals, Inc.",
year = "2019",
month = jun,
doi = "10.1002/cpa.21803",
language = "English (US)",
volume = "72",
pages = "1231--1242",
journal = "Communications on Pure and Applied Mathematics",
issn = "0010-3640",
publisher = "Wiley-Liss Inc.",
number = "6",
}