Existence of flats in manifolds of nonpositive curvature
type: Item
instance of: scholarly article
title: Existence of flats in manifolds of nonpositive curvature
zbMATH Open document ID: 0615.53030
DOI: 10.1007/BF01389092
author: Michael T. Anderson
author: Viktor Schroeder
published in: Inventiones Mathematicae
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143370
review text: The authors prove that the existence of an immersed m-flat in a compact Riemannian manifold of nonpositive sectional curvature depends only on the fundamental group of the manifold. The proof uses methods from geometric measure theory. Recall that the existence of a 2-flat is equivalent to non-visibility, as was shown by elementary means by P. Eberlein.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C65
zbMATH DE Number: 3996556
zbMATH Keywords: m-flat
zbMATH Keywords: nonpositive sectional curvature
zbMATH Keywords: fundamental group
zbMATH Keywords: non- visibility
reviewed by: Werner Ballmann
MaRDI profile type: Publication
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OpenAlex ID: W2041946950
description: scientific article; zbMATH DE number 3996556