a Institut Fourier, 100 rue des Maths, BP 74, 38402 Saint-Martin d'Hères, France b Laboratoire de mathématiques Jean Leray, Université de Nantes, 2 rue de la Houssinière, BP 92208, 44322 Nantes cedex 3, France
Abstract:
The Schoen-Webster theorem asserts that a strictly pseudoconvex CR manifold whose automorphism group acts nonproperly is either the standard sphere or the Heisenberg group. The purpose of this paper is to survey successive works around this result and then provide a short geometric proof in the compact case.