A cusp closing theorem
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- by Viktor Schroeder PDF
- Proc. Amer. Math. Soc. 106 (1989), 797-802 Request permission
Abstract:
Using a modification of a cusp closing result of Thurston, we construct compact Riemannian manifolds of nonpositive sectional curvature which have rank one (in the sense of Brin, Ballmann, and Eberlein) but which contain embedded flat tori of codimension 2. The metric can even be made analytic.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 797-802
- MSC: Primary 53C20; Secondary 53C22, 58F17
- DOI: https://doi.org/10.1090/S0002-9939-1989-0957267-6
- MathSciNet review: 957267