Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces

Authors

  • Lin Shan Faculty of Natural Sciences, University of Puerto Rico, Rio Piedras Campus, San Juan, 00925, Puerto Rico

DOI:

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

Keywords:

expander, group extension, Hadamard manifold, Banach space.

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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Published

2019-12-16

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Issue

Vol. 35 No. 4 (2019)

Section

Articles

How to Cite

Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces. (2019). Communications in Mathematical Research, 35(4), 335-339. https://doi.org/10.13447/j.1674-5647.2019.04.04