The fundamental group of manifolds of positive isotropic curvature and surface groups

Ailana Fraser; Jon Wolfson

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The fundamental group of manifolds of positive isotropic curvature and surface groups

Ailana Fraser·Jon Wolfson

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Abstract

In this paper we study the topology of compact manifolds of positive isotropic curvature (PIC). There are many examples of non-simply connected compact manifolds with positive isotropic curvature. We prove that the fundamental group of a compact Riemannian manifold with PIC, of dimension greater than or equal to 5, 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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BibTeX RIS

Ailana Fraser, Jon Wolfson. 2005-06-29. The fundamental group of manifolds of positive isotropic curvature and surface groups. https://arxiv.org/abs/math/0506609

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