Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces
Commun. Math. Res., 35 (2019), pp. 335-339.
Published online: 2019-12
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@Article{CMR-35-335,
author = {Shan , Lin},
title = {Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces},
journal = {Communications in Mathematical Research },
year = {2019},
volume = {35},
number = {4},
pages = {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.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.04.04}, url = {http://global-sci.org/intro/article_detail/cmr/13559.html} }
TY - JOUR
T1 - Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces
AU - Shan , Lin
JO - Communications in Mathematical Research
VL - 4
SP - 335
EP - 339
PY - 2019
DA - 2019/12
SN - 35
DO - http://doi.org/10.13447/j.1674-5647.2019.04.04
UR - https://global-sci.org/intro/article_detail/cmr/13559.html
KW - expander, group extension, Hadamard manifold, Banach space.
AB -
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.
Shan , Lin. (2019). Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces.
Communications in Mathematical Research . 35 (4).
335-339.
doi:10.13447/j.1674-5647.2019.04.04
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