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math.DG2003
A rigidity criterion for non-convex polyhedra
Jean-Marc Schlenker
Let be a (non necessarily convex) embedded polyhedron in , with its vertices on an ellipsoid. Suppose that the interior of can be decomposed into convex polytopes wit…
math.DG1999
Complete surfaces with negative extrinsic curvature
Jean-Marc Schlenker
N. V. Efimov \cite{Ef1} proved that there is no complete, smooth surface in with uniformly negative curvature. We extend this to isometric immersions in a 3-manifold with pi…