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

On the total mass of asymptotically hyperbolic manifolds

Pages: 683 – 706

DOI: https://dx.doi.org/10.4310/PAMQ.2019.v15.n2.a3

Authors

Hamed Barzegar (Faculty of Physics and Erwin Schrödinger Institute, University of Vienna, Austria)

Piotr T. Chruściel (Faculty of Physics and Erwin Schrödinger Institute, University of Vienna, Austria)

Luc Nguyen (Mathematical Institute and St Edmund Hall, University of Oxford, United Kingdom)

Abstract

Generalising a proof by Bartnik in the asymptotically Euclidean case, we give an elementary proof of positivity of the hyperbolic mass near the hyperbolic space.

Full Text (PDF format)

Preprint UWThPh-2018-32.

H. Barzegar is supported by the Austrian Science Fund (FWF) Project No. P29900-N27.

The research of P. T. Chruściel is supported by the Austrian Science Fund (FWF), Project P29517-N27, and by the Polish National Center of Science (NCN) under grant 2016/21/B/ST1/00940.

Received 10 June 2019

Received revised 29 August 2019

Accepted 12 September 2019

Published 4 December 2019