Noncompact 4-manifolds with uniformly positive isotropic curvature

Liang Ming Shen

doi:10.1007/s10114-015-1611-y

Noncompact 4-manifolds with uniformly positive isotropic curvature

Liang Ming Shen^*

^*此作品的通讯作者

Princeton University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, we study Ricci flow on noncompact 4-manifolds with uniformly positive isotropic curvature and with no essential imcompressible space form. That means there is positive lower bound of isotropic curvature and bounded geometry. Then by Perelman’s technique, we can analyze the structures of such manifolds.

源语言	英语
页（从-至）	1391-1414
页数	24
期刊	Acta Mathematica Sinica, English Series
卷	31
期	9
DOI	https://doi.org/10.1007/s10114-015-1611-y
出版状态	已出版 - 8 9月 2015
已对外发布	是

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title = "Noncompact 4-manifolds with uniformly positive isotropic curvature",

abstract = "In this paper, we study Ricci flow on noncompact 4-manifolds with uniformly positive isotropic curvature and with no essential imcompressible space form. That means there is positive lower bound of isotropic curvature and bounded geometry. Then by Perelman{\textquoteright}s technique, we can analyze the structures of such manifolds.",

keywords = "Ricci flow, isotropic curvature, surgery",

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AB - In this paper, we study Ricci flow on noncompact 4-manifolds with uniformly positive isotropic curvature and with no essential imcompressible space form. That means there is positive lower bound of isotropic curvature and bounded geometry. Then by Perelman’s technique, we can analyze the structures of such manifolds.

KW - Ricci flow

KW - isotropic curvature

KW - surgery

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Noncompact 4-manifolds with uniformly positive isotropic curvature

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