Open Access
VOL. 72 | 2017 Rigidity of certain solvable actions on the torus
Masayuki Asaoka

Editor(s) Taro Asuke, Shigenori Matsumoto, Yoshihiko Mitsumatsu

Adv. Stud. Pure Math., 2017: 269-281 (2017) DOI: 10.2969/aspm/07210269

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.

Information

Published: 1 January 2017
First available in Project Euclid: 4 October 2018

zbMATH: 1395.37017
MathSciNet: MR3726715

Digital Object Identifier: 10.2969/aspm/07210269

Subjects:
Primary: 37C85

Keywords: group actions , rigidity

Rights: Copyright © 2017 Mathematical Society of Japan

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