Quasi-Isometric Embeddings into Diffeomorphism Groups

Michael Brandenbursky; Jarek Kedra

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arXiv · 1108.5126

Quasi-Isometric Embeddings into Diffeomorphism Groups

Michael Brandenbursky·Jarek Kedra

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Abstract

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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Michael Brandenbursky, Jarek Kedra. 2011-08-25. Quasi-Isometric Embeddings into Diffeomorphism Groups. https://arxiv.org/abs/1108.5126

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