Pure and Applied Mathematics Quarterly
Volume 15 (2019)
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
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