Hypersurfaces with constant sectional curvature of $\mathbb {S}^{n}\times \mathbb {R}$ and $\mathbb {H}^{n}\times \mathbb {R}$
Fernando Manfio, Ruy Tojeiro
Abstract
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Fernando Manfio, Ruy Tojeiro
Abstract
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We classify the hypersurfaces of S n × R and H n × R with constant sectional curvature and dimension n ≥ 3.
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We classify the hypersurfaces of S n × R and H n × R with constant sectional curvature and dimension n ≥ 3.
Key concepts: Sectional curvature, Dimension (graph theory), Mathematics, Constant (computer programming), Curvature, Combinatorics, Mean curvature, Geometry