A Concentration Theorem of $(\boldsymbol{R}, p)$-Anders on Hadamard Manifolds
Commun. Math. Res., 32 (2016), pp. 97-104.
Published online: 2021-03
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@Article{CMR-32-97,
author = {Shan , Lin},
title = {A Concentration Theorem of $(\boldsymbol{R}, p)$-Anders on Hadamard Manifolds},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {32},
number = {2},
pages = {97--104},
abstract = {
In this note, we prove a concentration theorem of $(\boldsymbol{R}, p)$-anders. As a simple corollary, one can prove that $(X, p)$-anders do not admit coarse embeddings into Hadamard manifolds with bounded sectional curvatures.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2016.02.01}, url = {http://global-sci.org/intro/article_detail/cmr/18668.html} }
TY - JOUR
T1 - A Concentration Theorem of $(\boldsymbol{R}, p)$-Anders on Hadamard Manifolds
AU - Shan , Lin
JO - Communications in Mathematical Research
VL - 2
SP - 97
EP - 104
PY - 2021
DA - 2021/03
SN - 32
DO - http://doi.org/10.13447/j.1674-5647.2016.02.01
UR - https://global-sci.org/intro/article_detail/cmr/18668.html
KW - expander, $(\boldsymbol{R}, p)$-ander, concentration theorem, coarse embedding.
AB -
In this note, we prove a concentration theorem of $(\boldsymbol{R}, p)$-anders. As a simple corollary, one can prove that $(X, p)$-anders do not admit coarse embeddings into Hadamard manifolds with bounded sectional curvatures.
Lin Shan. (2021). A Concentration Theorem of $(\boldsymbol{R}, p)$-Anders on Hadamard Manifolds.
Communications in Mathematical Research . 32 (2).
97-104.
doi:10.13447/j.1674-5647.2016.02.01
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