2012/07/31 by Kwok-Kun Kwong, Kwong, Kwok-Kun
Mathematics · #53C20 #83C99 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C20 #msc:83C99
paper · pdf · doi:10.48550/arxiv.1207.7333
Typos corrected. Some examples added. To appear in Communications in Analysis and Geometry. Any comments welcome!
arxiv created 2013/04/28 · arxiv updated 2013/04/30
In this paper, we obtain a positivity result of a quasi-local mass integral as proposed by Shi and Tam in general dimensions. The main argument is based on the monotonicity of a mass integral in a foliation of quasi-spherical metrics and a positive mass type theorem which was proved by Wang and Yau in the three dimensional case, and is shown here in higher dimensions using spinor methods.