Differential geometry
Rigidity in a conformal class of contact form on CR manifold
[Rigidité dans une classe conforme de formes de contact sur une variété CR]

Présenté par : Haïm Brézis

Ho, Pak Tung1
1 Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
Comptes Rendus. Mathématique, Tome 353 (2015) no. 2, pp. 167-172.

Dans cet article, nous montrons d'abord que deux formes de contact conformes quelconques sur une variété compacte CR qui ont la même courbure de Ricci pseudo-hermitienne ne diffèrent que d'un facteur constant. Dans une autre direction, nous prouvons un analogue CR du lemme de Schwarz conforme de la géométrie riemannienne.

In this paper, we first prove that any two conformal contact forms on a compact CR manifold that have the same pseudo-Hermitian Ricci curvature must be different by a constant. In another direction, we prove a CR analogue of the conformal Schwarz lemma of Riemannian geometry.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2014.11.010
Ho, Pak Tung 1

1 Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea 
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Ho, Pak Tung. Rigidity in a conformal class of contact form on CR manifold. Comptes Rendus. Mathématique, Tome 353 (2015) no. 2, pp. 167-172. doi : 10.1016/j.crma.2014.11.010. http://www.numdam.org/articles/10.1016/j.crma.2014.11.010/

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