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arXiv · 1807.00633

The Cylinder Theorem in ${\cal H}^2\times R$

João Lucas Marques Barbosa·Manfredo Perdigão do Carmo
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Abstract

We consider cylinders in ${\cal H}^2\times R$ (see definitions in the introduction) and prove that a complete and connected surface in ${\cal H}^2\times R$ with the vanishing of the Gauss and extrinsic curvatures is a cylinder.

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João Lucas Marques Barbosa, Manfredo Perdigão do Carmo. 2018-07-02. The Cylinder Theorem in ${\cal H}^2\times R$. https://arxiv.org/abs/1807.00633

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