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

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

2009-10-12

arxiv.org/abs/0910.2135v2

Taiwanese J. Math., 15 (2011) 5, 2265-2289

Mathematics

Differential Geometry

25 Latex pages, to appear in Taiwanese Mathematical Journal

Scientific paper

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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