Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces

Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces

Year:    2019

Author:    Lin Shan

Communications in Mathematical Research , Vol. 35 (2019), Iss. 4 : pp. 335–339

Abstract

In this note, we prove that expanders cannot be coarsely embedded into group extensions of sequences of groups which are coarsely embeddable into Hardamad manifolds and certain Banach spaces due to the similar concentration theorems.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2019.04.04

Communications in Mathematical Research , Vol. 35 (2019), Iss. 4 : pp. 335–339

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:    expander group extension Hadamard manifold Banach space.

Author Details

Lin Shan