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Rigidity in a conformal class of contact form on CR manifold. (Rigidité dans une classe conforme de formes de contact sur une variété CR.) (English. French summary) Zbl 1308.32042

Summary: 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.

MSC:

32V30 Embeddings of CR manifolds
53C24 Rigidity results
Full Text: DOI

References:

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