On Hawking mass and Bartnik mass of CMC surfaces

Pengzi Miao, Yaohua Wang, Naqing Xie

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Given a constant mean curvature surface that bounds a compact manifold with nonnegative scalar curvature, we obtain intrinsic conditions on the surface that guarantee the positivity of its Hawking mass. We also obtain estimates of the Bartnik mass of such surfaces, without assumptions on the integral of the squared mean curvature. If the ambient manifold has negative scalar curvature, our method also applies and yields estimates on the hyperbolic Bartnik mass of these surfaces.

Original languageEnglish (US)
Pages (from-to)855-885
Number of pages31
JournalMathematical Research Letters
Issue number3
StatePublished - Aug 2020

ASJC Scopus subject areas

  • Mathematics(all)


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