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math.DG2014★ 23 cited
Some Remarks on Uniformly Regular Riemannian Manifolds
Marcelo Disconzi, Yuanzhen Shao, Gieri Simonett
We establish the equivalence between the family of closed uniformly regular Riemannian manifolds and the class of complete manifolds with bounded geometry.
math.DG2012★ 60 cited
On the Penrose Inequality for Charged Black Holes
Marcelo M. Disconzi, Marcus A. Khuri
In arXiv:0905.2622v1 and arXiv:0910.4785v1, Bray and Khuri outlined an approach to prove the Penrose inequality for general initial data sets of the Einstein equations. In this pap…
math.DG2012
Compactness and Non-compactness for the Yamabe Problem on Manifolds With Boundary
Marcelo M. Disconzi, Marcus A. Khuri
We study the problem of conformal deformation of Riemannian structure to constant scalar curvature with zero mean curvature on the boundary. We prove compactness for the full set o…