☆ 4.1 Article

Quasi-isometric embeddings into diffeomorphism groups

GROUPS GEOMETRY AND DYNAMICS (2013)

期刊

GROUPS GEOMETRY AND DYNAMICS

卷 7, 期 3, 页码 523-534

出版社

EUROPEAN MATHEMATICAL SOC

DOI: 10.4171/GGD/194

关键词

Groups of diffeomorphisms; L-p-metrics; quasi-isometric embeddings; distortion

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Mathematics

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Reagent

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Let M be a smooth compact connected oriented manifold of dimension at least two endowed with a volume form. Assuming certain conditions on the fundamental group pi(1)(M) we construct quasi-isometric embeddings of either free Abelian or direct products of non-Abelian free groups into the group of volume preserving diffeomorphisms of M equipped with the L-p metric induced by a Riemannian metric on M.

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