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arXiv · 0910.2135

Canonical Coordinates and Principal Directions for Surfaces in $\H^2\times\R$

Franki Dillen·Marian Ioan Munteanu·Ana Irina Nistor
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Abstract

In this paper we characterize and classify surfaces in ${\mathbb{H}}^2\times{\mathbb{R}}$ which have a canonical principal direction. Here ${\mathbb{H}}^2$ denotes the hyperbolic plane. We study some geometric properties such as minimality and flatness. Some examples are given to complete the study.

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Franki Dillen, Marian Ioan Munteanu, Ana Irina Nistor. 2010-06-19. Canonical Coordinates and Principal Directions for Surfaces in $\H^2\times\R$. https://arxiv.org/abs/0910.2135

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