Analytic manifolds of nonpositive curvature with higher rank subspaces
type: Item
instance of: scholarly article
title: Analytic manifolds of nonpositive curvature with higher rank subspaces
zbMATH Open document ID: 0691.53032
DOI: 10.1007/BF01190084
author: Viktor Schroeder
published in: Archiv der Mathematik
publication date: 1991-01-01T00:00:00Z
review text: The paper is related to the concept of the rank of a manifold of nonpositive sectional curvature as developed by \textit{W. Ballmann}, \textit{M. Brin} and \textit{P. Eberlein} [Ann. Math., II. Ser. 122, 171-203 (1985; Zbl 0589.53047)]. We construct compact real analytic manifolds M of rank 1 which contain totally geodesic subspaces \(N\subset M\) with rank(N)\(\geq 2\).
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 4131202
zbMATH Keywords: rank of a manifold
zbMATH Keywords: nonpositive sectional curvature
zbMATH Keywords: compact real analytic manifolds
zbMATH Keywords: totally geodesic subspaces
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01190084
OpenAlex ID: W1966978509
description: scientific article; zbMATH DE number 4131202