Constant curvature hypersurfaces of cylinders over space forms
Abstract
We classify the hypersurfaces of dimension n >= 3 with constant sectional curvature in the product spaces Rk x Sn-k+1 and Rk x Hn-k+1, for 2 <= k <= n-1. Our results provide a complete description of these hypersurfaces and extend previous classifications of constant curvature submanifolds in product spaces of space forms.
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