Some functionals on compact manifolds with boundary

Abstract

We analyze critical points of two functionals of Riemannian metrics on compact manifolds with boundary. These functionals are motivated by formulae of the mass functionals of asymptotically flat and asymptotically hyperbolic manifolds.

References in corpus (3)

• On the center of mass in general relativity
• Chern's magic form and the Gauss-Bonnet-Chern mass
• Quasi-local mass integrals and the total mass