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JOURNALS // Regular and Chaotic Dynamics // Archive
Regul. Chaotic Dyn., 2017 Volume 22, Issue 6, Pages 585–602 (Mi rcd278)
This article is cited in 4 papers

Contact Orderability up to Conjugation

Kai Cieliebaka, Yakov Eliashbergb, Leonid Polterovichc

a Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany
b Department of Mathematics, Stanford University, Stanford, CA 94395, USA
c Department of Mathematics, Tel Aviv University, 69978 Tel Aviv, Israel

Abstract: We study in this paper the remnants of the contact partial order on the orbits of the adjoint action of contactomorphism groups on their Lie algebras. Our main interest is a class of noncompact contact manifolds, called convex at infinity.

Keywords: contactomorphism group, partial order, nonsqueezing.

MSC: 53D35, 53D40

Received: 27.09.2017
Accepted: 31.10.2017

Language: English

DOI: 10.1134/S1560354717060028



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