Introduces a boundary analogue of the Gauss-Bonnet-Chern mass for asymptotically flat half-manifolds, proves it is well-defined, establishes positive mass theorems for graphical and conformally flat graphs, and provides a Penrose-type inequality.
thesis, https://d-nb.info/1067442340/34., 2015
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A new boundary mass for asymptotically flat half-manifolds
Introduces a boundary analogue of the Gauss-Bonnet-Chern mass for asymptotically flat half-manifolds, proves it is well-defined, establishes positive mass theorems for graphical and conformally flat graphs, and provides a Penrose-type inequality.