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^*

^*Corresponding author for this work

Vanderbilt University
Donghua University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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.

Original language	English
Pages (from-to)	448-471
Number of pages	24
Journal	Journal of Functional Analysis
Volume	248
Issue number	2
DOIs	https://doi.org/10.1016/j.jfa.2007.01.006
State	Published - 15 Jul 2007
Externally published	Yes

Keywords

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

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10.1016/j.jfa.2007.01.006

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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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doi = "10.1016/j.jfa.2007.01.006",

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AU - Wang, Qin

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N2 - 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.

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

AN - SCOPUS:34249663318

SN - 0022-1236

VL - 248

SP - 448

EP - 471

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

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

Abstract

Keywords

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