We study the biharmonic curves on an invariant surface of a three-dimensional manifold generalizing the case of biharmonic curves on a surface of revolution in R^3 . The main results are: the characterization of proper biharmonic orbits; the explicit description of proper biharmonic curves on an invariant surface with constant positive Gauss curvature.
Biharmonic curves on an invariant surface
MONTALDO, STEFANO;ONNIS I. I.
2009-01-01
Abstract
We study the biharmonic curves on an invariant surface of a three-dimensional manifold generalizing the case of biharmonic curves on a surface of revolution in R^3 . The main results are: the characterization of proper biharmonic orbits; the explicit description of proper biharmonic curves on an invariant surface with constant positive Gauss curvature.
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