On the space of asymptotically euclidean metrics
The Bonnet-Meyers theorem is true for Riemann Hilbert Manifolds.
On the representation of Dirichlet forms
A general representation theorem is obtained for positive quadratic forms, defined on (the space of continuously differentiable functions with compact support contained in ) which are local and on which all normal contractions operate.
An Algorithm for Computing Constrained Smoothing Spline Functions.
Solutions of the constraint equations in general relativity satisfying "hyperboloidal boundary conditions"
Abstract We prove existence of the solutions of the constraint equations satisfying "hyperboloidal boundary conditions" using the Choquet-Bruhat-Lichnerowicz-York conformal method and we analyze in detail their differentiability near the conformal boundary. We show that generic "hyperboloidal initial data" display asymptotic behaviour which is not compatible with Penrose's hypothesis of smoothness of ℐ. We also show that a large class of "non-generic" initial data satisfying...
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