Constant Angle Surfaces in a warped product

Abstract

Let $I\subseteq \mathbb{R}$ be an open interval, $f:I\to \mathbb{R}$ 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 $I$.

12 pages

References in corpus (2)

• Constant angle surfaces in the Heisenberg group
• Constant angle surfaces in Minkowski space