# Constant Angle Surfaces in a warped product

## TL;DR

This paper classifies all constant angle surfaces in a specific warped product manifold, extending the understanding of geometric properties of such surfaces in warped geometries.

## Contribution

It provides a complete classification of constant angle surfaces in warped product spaces with a positive warping function.

## Key findings

- Explicit description of all constant angle surfaces in the given warped product
- Extension of known results from Euclidean space to warped geometries
- New geometric insights into the structure of these surfaces

## Abstract

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 $I$.