Pure and Applied Mathematics Quarterly

Volume 15 (2019)

Number 2

Special Issue: In Honor of Robert Bartnik (Part 1 of 2)

Guest Editors: Piotr T. Chruściel, Greg Galloway, Jim Isenberg, Pengzi Miao, Mu-Tao Wang, and Shing-Tung Yau

Existence of CMC Cauchy surfaces and spacetime splitting

Pages: 667 – 682

DOI: https://dx.doi.org/10.4310/PAMQ.2019.v15.n2.a2


Greg Galloway


In this paper, we review results on the existence (and nonexistence) of constant mean curvature spacelike hypersurfaces in the cosmological setting, and discuss the connection to the spacetime splitting problem.

The author’s research was partially supported by NSF grant DMS-1710808.

Received 21 February 2019

Received revised 23 February 2019

Accepted 2 May 2019

Published 4 December 2019