Equivariant higher-index problems for proper actions and nonpositively curved manifolds

Xiaoman Chen; Benyin Fu; Qin Wang; Dapeng Zhou

doi:10.1215/21562261-2019-0044

Equivariant higher-index problems for proper actions and nonpositively curved manifolds

Xiaoman Chen
, Benyin Fu
, Qin Wang
, Dapeng Zhou

数学科学学院

Fudan University
Shanghai Lixin University of Accounting and Finance
East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

We prove that the equivariant higher-index map is injective for a bounded geometry metric space with a proper and isometric group action which can be equivariantly embedded into a simply connected, complete, and nonpositively curved Riemannian manifold with a proper and isometric group action.

源语言	英语
页（从-至）	575-591
页数	17
期刊	Kyoto Journal of Mathematics
卷	60
期	2
DOI	https://doi.org/10.1215/21562261-2019-0044
出版状态	已出版 - 6月 2020

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title = "Equivariant higher-index problems for proper actions and nonpositively curved manifolds",

abstract = "We prove that the equivariant higher-index map is injective for a bounded geometry metric space with a proper and isometric group action which can be equivariantly embedded into a simply connected, complete, and nonpositively curved Riemannian manifold with a proper and isometric group action.",

author = "Xiaoman Chen and Benyin Fu and Qin Wang and Dapeng Zhou",

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year = "2020",

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doi = "10.1215/21562261-2019-0044",

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AU - Chen, Xiaoman

AU - Fu, Benyin

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AU - Zhou, Dapeng

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N2 - We prove that the equivariant higher-index map is injective for a bounded geometry metric space with a proper and isometric group action which can be equivariantly embedded into a simply connected, complete, and nonpositively curved Riemannian manifold with a proper and isometric group action.

AB - We prove that the equivariant higher-index map is injective for a bounded geometry metric space with a proper and isometric group action which can be equivariantly embedded into a simply connected, complete, and nonpositively curved Riemannian manifold with a proper and isometric group action.

UR - https://www.scopus.com/pages/publications/85090901861

U2 - 10.1215/21562261-2019-0044

DO - 10.1215/21562261-2019-0044

M3 - 文章

AN - SCOPUS:85090901861

SN - 2156-2261

VL - 60

SP - 575

EP - 591

JO - Kyoto Journal of Mathematics

JF - Kyoto Journal of Mathematics

IS - 2

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Equivariant higher-index problems for proper actions and nonpositively curved manifolds

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