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1 June 2006 The fundamental group of manifolds of positive isotropic curvature and surface groups
Ailana Fraser, Jon Wolfson
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Duke Math. J. 133(2): 325-334 (1 June 2006). DOI: 10.1215/S0012-7094-06-13325-2

Abstract

In this article, we study the topology of compact manifolds with positive isotropic curvature (PIC). There are many examples of nonsimply connected compact manifolds with PIC. We prove that the fundamental group of a compact Riemannian manifold of dimension at least 5 with PIC does not contain a subgroup isomorphic to the fundamental group of a compact Riemann surface. The proof uses stable minimal surface theory

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Ailana Fraser. Jon Wolfson. "The fundamental group of manifolds of positive isotropic curvature and surface groups." Duke Math. J. 133 (2) 325 - 334, 1 June 2006. https://doi.org/10.1215/S0012-7094-06-13325-2

Information

Published: 1 June 2006
First available in Project Euclid: 21 May 2006

zbMATH: 1110.53027
MathSciNet: MR2225695
Digital Object Identifier: 10.1215/S0012-7094-06-13325-2

Subjects:
Primary: 53C21
Secondary: 58E12

Rights: Copyright © 2006 Duke University Press

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Vol.133 • No. 2 • 1 June 2006
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