Advanced Studies in Pure Mathematics

Rigidity of certain solvable actions on the torus

Masayuki Asaoka

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Abstract

An analog of the Baumslag–Solitar group $\mathit{BS}(1, k)$ acts on the torus naturally. The action is not locally rigid in higher dimension, but any perturbation of the action should be homogeneous.

Article information

Source
Geometry, Dynamics, and Foliations 2013: In honor of Steven Hurder and Takashi Tsuboi on the occasion of their 60th birthdays, T. Asuke, S. Matsumoto and Y. Mitsumatsu, eds. (Tokyo: Mathematical Society of Japan, 2017), 269-281

Dates
Received: 23 May 2014
Revised: 4 May 2015
First available in Project Euclid: 4 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1538671772

Digital Object Identifier
doi:10.2969/aspm/07210269

Mathematical Reviews number (MathSciNet)
MR3726715

Zentralblatt MATH identifier
1395.37017

Subjects
Primary: 37C85: Dynamics of group actions other than Z and R, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx]

Keywords
group actions rigidity

Citation

Asaoka, Masayuki. Rigidity of certain solvable actions on the torus. Geometry, Dynamics, and Foliations 2013: In honor of Steven Hurder and Takashi Tsuboi on the occasion of their 60th birthdays, 269--281, Mathematical Society of Japan, Tokyo, Japan, 2017. doi:10.2969/aspm/07210269. https://projecteuclid.org/euclid.aspm/1538671772


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