A quasi-local mass for 2-spheres with negative Gauss curvature

Abstract

We extend our previous definition of quasi-local mass to 2-spheres whose Gauss curvature is negative and prove its positivity.

10 pages, Science in China, Series A: Math, to appear

References in corpus (4)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Positivity of Quasilocal Mass
• Velocity and velocity-difference distributions in Burgers turbulence
• Boundary behaviors and scalar curvature of compact manifolds