A Concentration Theorem of $(\boldsymbol{R}, p)$-Anders on Hadamard Manifolds

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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.

Keywords:

expander $(\boldsymbol{R} p)$-ander concentration theorem coarse embedding.
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DOI

10.13447/j.1674-5647.2016.02.01

How to Cite

A Concentration Theorem of $(\boldsymbol{R}, p)$-Anders on Hadamard Manifolds. (2021). Communications in Mathematical Research, 32(2), 97-104. https://doi.org/10.13447/j.1674-5647.2016.02.01