The Classification of Biharmonic Curves of Cartan-Vranceanu 3-Dimensional Spaces

Abstract

In this article we characterize all biharmonic curves of the Cartan-Vranceanu 3-dimensional spaces and we give their explicit parametrizations.

arXiv commentTo appear in Proceedings of "The Seventh International Workshop on Differential Geometry and its Applications - Deva (Romania) - September 2005"

References in corpus (1)

• Explicit Formulas for Non-Geodesic Biharmonic Curves of the Heisenberg Group

Cited by in corpus (3)

• A short survey on biharmonic maps between Riemannian manifolds
• Biharmonic maps into Sol and Nil spaces
• Explicit formulas for biharmonic submanifolds in non-Euclidean 3-spheres