Curvature lines on orthogonal surfaces of R3 and Joachimsthal Theorem

Abstract

In this paper is studied, as a complement of Joachimsthal theorem, the behavior of curvature lines near a principal cycle common to two orthogonal surfaces.

Keywords

• principal cycle
• curvature lines. MSC
• 53C12
• 34D30
• 53A05
• 37C75