The fundamental group of manifolds of positive isotropic curvature and surface groups
Fraser, Ailana ; Wolfson, Jon
Duke Math. J., Tome 131 (2006) no. 1, p. 325-334 / Harvested from Project Euclid
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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
Publié le : 2006-06-01
Classification:  53C21,  58E12 
@article{1148224042,
     author = {Fraser, Ailana and Wolfson, Jon},
     title = {The fundamental group of manifolds of positive isotropic curvature and surface groups},
     journal = {Duke Math. J.},
     volume = {131},
     number = {1},
     year = {2006},
     pages = { 325-334},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148224042}
}

Fraser, Ailana; Wolfson, Jon. The fundamental group of manifolds of positive isotropic curvature and surface groups. Duke Math. J., Tome 131 (2006) no. 1, pp.  325-334. http://gdmltest.u-ga.fr/item/1148224042/