General properties of closed curves on a sphere
$begingroup$
This is a question from a physicist trying to understand space curves.
In 2D, a closed curve equidistant from a point is a circle, and has constant curvature and zero torsion.
What can be said for a closed curve equidistant from a point in 3D, i.e. lying on the surface of a sphere? What are its properties?
geometry curves spheres
asked Dec 2 '18 at 3:43
ap21ap21
385
$endgroup$
add a comment |
$begingroup$
This is a question from a physicist trying to understand space curves.
In 2D, a closed curve equidistant from a point is a circle, and has constant curvature and zero torsion.
What can be said for a closed curve equidistant from a point in 3D, i.e. lying on the surface of a sphere? What are its properties?
geometry curves spheres
asked Dec 2 '18 at 3:43
ap21ap21
385
$endgroup$
add a comment |
$begingroup$
This is a question from a physicist trying to understand space curves.
In 2D, a closed curve equidistant from a point is a circle, and has constant curvature and zero torsion.
What can be said for a closed curve equidistant from a point in 3D, i.e. lying on the surface of a sphere? What are its properties?
geometry curves spheres
asked Dec 2 '18 at 3:43
ap21ap21
385
$endgroup$
This is a question from a physicist trying to understand space curves.
In 2D, a closed curve equidistant from a point is a circle, and has constant curvature and zero torsion.
What can be said for a closed curve equidistant from a point in 3D, i.e. lying on the surface of a sphere? What are its properties?
geometry curves spheres
geometry curves spheres
asked Dec 2 '18 at 3:43
ap21ap21
385
asked Dec 2 '18 at 3:43
ap21ap21
385
asked Dec 2 '18 at 3:43
ap21ap21
385
asked Dec 2 '18 at 3:43
ap21ap21
385
asked Dec 2 '18 at 3:43
ap21ap21
385
385
add a comment |
add a comment |
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