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.