Some functionals on compact manifolds with boundary

2016/02/22 by Miao, Pengzi, Tam, Luen-Fai · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C20 #Secondary 83C99

paper · doi:10.48550/arxiv.1602.06616

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.

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