On Sandon-type metrics for contactomorphism groups
type: Item
instance of: scholarly article
title: On Sandon-type metrics for contactomorphism groups
zbMATH Open document ID: 1402.53062
author: Maia Fraser
author: Leonid Polterovich
author: Daniel Rosen
published in: Annales Mathématiques du Québec
publication date: 2018-10-31T00:00:00Z
full work available at URL: https://arxiv.org/abs/1207.3151
review text: Some contact manifolds admitting a 1-periodic Reeb flow are considered. A new construction of a stabby unbounded conjugation-invariant norm on the universal cover of the contactomorphism group is presented. It is proved that this norm induces a conjugation-invariant norm on the contactomorphism group. The problem of the boundedness of conjugation-invariant norms for contactomorphisms is studied.
Mathematics Subject Classification ID: 53D10
zbMATH DE Number: 6969673
zbMATH Keywords: contactomorphism group
zbMATH Keywords: contact manifold
zbMATH Keywords: conjugation-invariant norm
zbMATH Keywords: Hamiltonian displacement
zbMATH Keywords: Liouville manifold
reviewed by: Mihail B. Banaru
MaRDI profile type: Publication
OpenAlex ID: W2963101256
arXiv ID: 1207.3151
cites work: A nondisplaceable Lagrangian torus inT*S2
cites work: LEAF-WISE INTERSECTIONS AND RABINOWITZ FLOER HOMOLOGY
cites work: Translated points and Rabinowitz Floer homology
cites work: Q3130252
cites work: Lagrangian embeddings into subcritical Stein manifolds
cites work: Symplectic topology on subcritical manifolds
cites work: Quasimorphisms on contactomorphism groups and contact rigidity
cites work: Conjugation-invariant norms on groups of geometric origin
cites work: The discriminant and oscillation lengths for contact and Legendrian isotopies
cites work: Contact 3-manifolds twenty years since J. Martinet's work
cites work: TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2
cites work: Q3976188
cites work: Lagrangian intersections in contact geometry
cites work: Partially ordered groups and geometry of contact transformations
cites work: Geometry of contact transformations and domains: orderability versus squeezing
cites work: Morse theory for Lagrangian intersections
cites work: On Maslov class rigidity for coisotropic submanifolds
cites work: Q5201928
cites work: Pseudo holomorphic curves in symplectic manifolds
cites work: Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent
cites work: Q4317260
cites work: A fixed point theorem in symplectic geometry
cites work: Topological contact dynamics I: symplectization and applications of the energy-capacity inequality
cites work: Q4440930
cites work: Q2707767
cites work: Commutators of contactomorphisms
cites work: AN INTEGER-VALUED BI-INVARIANT METRIC ON THE GROUP OF CONTACTOMORPHISMS OF ℝ2n × S1
cites work: Contact homology, capacity and non-squeezing in \(\mathbb R^{ 2n }\times S^{ 1 }\) via generating functions
cites work: Equivariant homology for generating functions and orderability of lens spaces
cites work: ON ITERATED TRANSLATED POINTS FOR CONTACTOMORPHISMS OF ℝ2n+1 AND ℝ2n × S1
cites work: The Hofer norm of a contactomorphism
cites work: Cycles for the dynamical study of foliated manifolds and complex manifolds
cites work: Q3614589
cites work: Hofer geometry and cotangent fibers
cites work: Geometry of contactomorphism groups, contact rigidity, and contact dynamics in jet spaces
DOI: 10.1007/S40316-017-0092-Z
description: scientific article