Sur la conjecture de Lichnerowicz pour les variétés CR de signature mixte

Translated title of the contribution: On the Lichnerowicz conjecture for CR manifolds with mixed signature

Jeffrey S. Case, Sean N. Curry, Vladimir S. Matveev

Research output: Contribution to journalArticle

Abstract

We construct examples of nondegenerate CR manifolds with Levi form of signature (p,q), 2≤p≤q, which are compact, not locally CR flat, and admit essential CR vector fields. We also construct an example of a noncompact nondegenerate CR manifold with signature (1,n−1) that is not locally CR flat and admits an essential CR vector field. These provide counterexamples to the analogue of the Lichnerowicz conjecture for CR manifolds with mixed signature.

Translated title of the contributionOn the Lichnerowicz conjecture for CR manifolds with mixed signature
Original languageFrench
Pages (from-to)532-537
Number of pages6
JournalComptes Rendus Mathematique
Volume356
Issue number5
DOIs
StatePublished - May 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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