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

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

Year:    2016

Author:    Lin Shan

Communications in Mathematical Research , Vol. 32 (2016), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Communications in Mathematical Research , Vol. 32 (2016), Iss. 2 : pp. 97–104

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

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

Author Details

Lin Shan