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Fundamental groups of manifolds with positive isotropic curvature. (English) Zbl 1044.53023
The author considers the important open problem of understanding the properties of the fundamental groups of manifolds with positive isotropic curvature (PIC). By using techniques involving minimal surfaces, she proves the following interesting theorem: The fundamental group of a compact manifold \(M^n\) with PIC, \(n\geq 5\), does contain a subgroup isomorphic to \(\mathbb{Z}\oplus \mathbb{Z}\).

MSC:
53C20 Global Riemannian geometry, including pinching
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