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

Ana Irina Nistor; Franki Dillen; Marian Ioan Munteanu

arxiv: 0910.2135 · v2 · pith:ZUINTOFCnew · submitted 2009-10-12 · 🧮 math.DG

Canonical Coordinates and Principal Directions for Surfaces in H²timesR

Franki Dillen , Marian Ioan Munteanu , Ana Irina Nistor This is my paper

classification 🧮 math.DG

keywords mathbbcanonicalprincipalsomesurfacestimescharacterizeclassify

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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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Canonical Coordinates and Principal Directions for Surfaces in H²timesR

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