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
类别
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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