Constant Angle Surfaces in a warped product

Details Constant Angle Surfaces in a warped product Constant Angle Surfaces in a warped product

2009-08-08

arxiv.org/abs/0908.1180v1

Balkan Journal of Geometry and Its Applications, 16 (2011) 2, 35 - 47

Mathematics

Differential Geometry

12 pages

Scientific paper

Let $I \subseteq \R$ be an open interval, $f : I \to \R$ a strictly positive
function and denote by $\E^2$ the Euclidean plane. We classify all surfaces in
the warped product manifold $I \times_f \E^2$ for which the unit normal makes a
constant angle with the direction tangent to $I$.

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