The paper derives Darboux-frame equations, Killing equations, and parametric formulas for magnetic curves and helices on an ellipsoid equipped with an anisotropic metric, but the results are reparametrizations of standard spherical curve results.
The motion of a rigid body around an axis in three dimensions is a linear transformation that can be expressed with an orthonormal matrix
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GM 1years
2019 1verdicts
REJECT 1representative citing papers
citing papers explorer
-
Elliptical trajectories of a point on the elliptical 2-sphere
The paper derives Darboux-frame equations, Killing equations, and parametric formulas for magnetic curves and helices on an ellipsoid equipped with an anisotropic metric, but the results are reparametrizations of standard spherical curve results.