Journal of Symplectic Geometry

Volume 16 (2018)

Number 4

Quasi-isometry type of the metric space derived from the kernel of the Calabi homomorphism

Pages: 1041 – 1050

DOI: https://dx.doi.org/10.4310/JSG.2018.v16.n4.a6

Author

Tomohiko Ishida (Department of Mathematics, Kyoto University, Sakyo-ku, Kyoto, Japan)

Abstract

We prove that the set of symmetrized conjugacy classes of the kernel of the Calabi homomorphism on the group of area-preserving diffeomorphisms of the $2$-disk is not quasi-isometric to the half line.

Full Text (PDF format)

Received 5 September 2015

Accepted 9 January 2018

Published 11 February 2019