Analytic manifolds of nonpositive curvature with higher rank subspaces (Q582597)
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scientific article; zbMATH DE number 4131202
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic manifolds of nonpositive curvature with higher rank subspaces |
scientific article; zbMATH DE number 4131202 |
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Analytic manifolds of nonpositive curvature with higher rank subspaces (English)
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1991
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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)\(\geq 2\).
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rank of a manifold
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nonpositive sectional curvature
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compact real analytic manifolds
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totally geodesic subspaces
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