Contact orderability up to conjugation

Kai Cieliebak; Yakov Eliashberg; Leonid Polterovich

doi:10.1134/S1560354717060028

Contact orderability up to conjugation

Kai Cieliebak, Yakov Eliashberg, Leonid Polterovich

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	585-602
Number of pages	18
Journal	Regular and Chaotic Dynamics
Volume	22
Issue number	6
DOIs	https://doi.org/10.1134/S1560354717060028
State	Published - 1 Nov 2017

Keywords

contactomorphism group
nonsqueezing
partial order

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

Access to Document

10.1134/S1560354717060028

Cite this

@article{c6a15070c5484527801d36485b6281a9,

title = "Contact orderability up to conjugation",

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, nonsqueezing, partial order",

author = "Kai Cieliebak and Yakov Eliashberg and Leonid Polterovich",

note = "Publisher Copyright: {\textcopyright} 2017, Pleiades Publishing, Ltd.",

year = "2017",

month = nov,

day = "1",

doi = "10.1134/S1560354717060028",

language = "الإنجليزيّة",

volume = "22",

pages = "585--602",

journal = "Regular and Chaotic Dynamics",

issn = "1560-3547",

publisher = "Pleiades Publishing",

number = "6",

}

TY - JOUR

T1 - Contact orderability up to conjugation

AU - Cieliebak, Kai

AU - Eliashberg, Yakov

AU - Polterovich, Leonid

PY - 2017/11/1

Y1 - 2017/11/1

N2 - 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.

AB - 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.

KW - contactomorphism group

KW - nonsqueezing

KW - partial order

UR - http://www.scopus.com/inward/record.url?scp=85037632040&partnerID=8YFLogxK

U2 - 10.1134/S1560354717060028

DO - 10.1134/S1560354717060028

M3 - مقالة

SN - 1560-3547

VL - 22

SP - 585

EP - 602

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 6

ER -

Contact orderability up to conjugation

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this