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Bibliographic Details
Main Authors: Carvalho, Arnando, Tojeiro, Ruy
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.17030
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Table of Contents:
  • We classify the hypersurfaces of dimension n >= 3 with constant sectional curvature in the product spaces R^k x S^{n-k+1} and R^k x H^{n-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.