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- W2334205660 abstract "We prove that if a closed aspherical Riemannian 3-manifold M contains a 2-flat, then there exists a free abelian subgroup of rank two in π1(M). Under some restrictions on the topology of M we prove the existence of an immersed incompressible flat torus in M. This generalizes results which were previously known for manifolds of nonpositive curva- ture. R´ ESUM´ — Nous prouvons que si une variete riemannienne fermee de dimension trois M contient un 2-plat, alors il existe un sous-groupe abelien libre de rang 2 dans π1(M). Sous certaines restrictions sur la topologie de M, nous prouvons l'existence d'un tore plat incompressible dans M. Ceci generalise des resultats connus au prealable pour des varietes de courbure non positive." @default.
- W2334205660 created "2016-06-24" @default.
- W2334205660 creator A5040593104 @default.
- W2334205660 date "2005-01-01" @default.
- W2334205660 modified "2023-09-23" @default.
- W2334205660 title "Flats in 3-manifolds" @default.
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- W2334205660 doi "https://doi.org/10.5802/afst.1099" @default.
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