The uniform perfectness of diffeomorphism groups of open manifolds

Kazuhiko Fukui; Tomasz Rybicki; Tatsuhiko Yagasaki

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arXiv · 1905.07664

The uniform perfectness of diffeomorphism groups of open manifolds

Kazuhiko Fukui·Tomasz Rybicki·Tatsuhiko Yagasaki

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Abstract

In this paper we study the uniform perfectness, boundedness and uniform simplicity of diffeomorphism groups of compact manifolds with boundary and open manifolds and obtain some upper bounds of their diameters with respect to commutator length, those with support in balls and conjugation-generated norm.

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Kazuhiko Fukui, Tomasz Rybicki, Tatsuhiko Yagasaki. 2019-05-19. The uniform perfectness of diffeomorphism groups of open manifolds. https://arxiv.org/abs/1905.07664

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