The coarse geometric Novikov conjecture for subspaces of non-positively curved manifolds

Lin Shan; Qin Wang

doi:10.1016/j.jfa.2007.01.006

The coarse geometric Novikov conjecture for subspaces of non-positively curved manifolds

Lin Shan
, Qin Wang^*

^*此作品的通讯作者

Vanderbilt University
Donghua University

科研成果: 期刊稿件 › 文章 › 同行评审

15 引用（Scopus）

摘要

In this paper, we prove the coarse geometric Novikov conjecture for metric spaces with bounded geometry which admit a coarse embedding into a simply connected complete Riemannian manifold of non-positive sectional curvature.

源语言	英语
页（从-至）	448-471
页数	24
期刊	Journal of Functional Analysis
卷	248
期	2
DOI	https://doi.org/10.1016/j.jfa.2007.01.006
出版状态	已出版 - 15 7月 2007
已对外发布	是

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title = "The coarse geometric Novikov conjecture for subspaces of non-positively curved manifolds",

abstract = "In this paper, we prove the coarse geometric Novikov conjecture for metric spaces with bounded geometry which admit a coarse embedding into a simply connected complete Riemannian manifold of non-positive sectional curvature.",

keywords = "Coarse geometry, Higher index, K-Theory, Non-positively curved manifold, The coarse geometric Novikov conjecture",

author = "Lin Shan and Qin Wang",

year = "2007",

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AU - Wang, Qin

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AB - In this paper, we prove the coarse geometric Novikov conjecture for metric spaces with bounded geometry which admit a coarse embedding into a simply connected complete Riemannian manifold of non-positive sectional curvature.

KW - Coarse geometry

KW - Higher index

KW - K-Theory

KW - Non-positively curved manifold

KW - The coarse geometric Novikov conjecture

UR - https://www.scopus.com/pages/publications/34249663318

U2 - 10.1016/j.jfa.2007.01.006

DO - 10.1016/j.jfa.2007.01.006

M3 - 文章

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VL - 248

SP - 448

EP - 471

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

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The coarse geometric Novikov conjecture for subspaces of non-positively curved manifolds

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