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math.DG2019★ 1 cited
The Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary
Thomas Koerber
In this article, we prove the Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary whose asymptotic region is modelled on a half-space. Such sp…
math.DG2019
A free boundary isometric embedding problem in the unit ball
Thomas Koerber
In this article, we study a free boundary isometric embedding problem for abstract Riemannian two-manifolds with the topology of the disc. Under the assumption of positive Gauss cu…