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

Authors

  • Lin Shan

DOI:

https://doi.org/10.13447/j.1674-5647.2016.02.01

Keywords:

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

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.

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Published

2021-03-04

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Issue

Vol. 32 No. 2 (2016)

Section

Articles

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