Global rigidity in CR geometry: the Schoen-Webster theorem.

Benoît Kloeckner (1) , Vincent Minerbe (2)

1 IF - Institut Fourier
2 LMJL - Laboratoire de Mathématiques Jean Leray

Schoen-Webster theorem asserts a pseudoconvex CR manifold whose automorphism group acts non properly is either the standard sphere or the Heisenberg space. The purpose of this paper is to survey successive works around this result and then provide a short geometric proof in the compact case.

Mots clés: CR geometry; rigidity

Domaines: Géométrie différentielle [math.DG]

Benoît Kloeckner, Vincent Minerbe. Global rigidity in CR geometry: the Schoen-Webster theorem.. Differential Geometry and its Applications, 2009, 27 (3), pp.399-411. ⟨hal-00171879⟩