Open Access
Spring 2011 Hypersurfaces with constant sectional curvature of $\mathbb {S}^{n}\times \mathbb {R}$ and $\mathbb {H}^{n}\times \mathbb {R}$
Fernando Manfio, Ruy Tojeiro
Illinois J. Math. 55(1): 397-415 (Spring 2011). DOI: 10.1215/ijm/1355927042

Abstract

We classify the hypersurfaces of $\mathbb {S}^n\times \mathbb{R}$ and $\mathbb{H}^n\times \mathbb {R}$ with constant sectional curvature and dimension $n\geq3$.

Citation

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Fernando Manfio. Ruy Tojeiro. "Hypersurfaces with constant sectional curvature of $\mathbb {S}^{n}\times \mathbb {R}$ and $\mathbb {H}^{n}\times \mathbb {R}$." Illinois J. Math. 55 (1) 397 - 415, Spring 2011. https://doi.org/10.1215/ijm/1355927042

Information

Published: Spring 2011
First available in Project Euclid: 19 December 2012

zbMATH: 1257.53027
MathSciNet: MR3006694
Digital Object Identifier: 10.1215/ijm/1355927042

Subjects:
Primary: 53B25

Rights: Copyright © 2011 University of Illinois at Urbana-Champaign

Vol.55 • No. 1 • Spring 2011
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