Pure and Applied Mathematics Quarterly
Volume 15 (2019)
Special Issue: In Honor of Robert Bartnik (Part 2 of 2)
Guest Editors: Piotr T. Chruściel, Greg Galloway, Jim Isenberg, Pengzi Miao, Mu-Tao Wang, and Shing-Tung Yau
Recent progress and problems on the Bartnik quasi-local mass
Pages: 851 – 873
This paper surveys recent progress on issues related to the Bartnik quasi-local mass $m_B$. In addition we formulate a number of new problems and conjectures regarding foundational properties of the mass $m_B$.
This work is dedicated with pleasure to Robert Bartnik in honor of his 60th birthday.
The author is partially supported by NSF Grant DMS 1607479.
Received 10 March 2019
Received revised 14 June 2019
Accepted 29 June 2019
Published 2 January 2020