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Results tagged with dg.differential-geometry
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user 123142
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
1
vote
How many curves can fit on a sphere without intersecting?
One way to generalize your theorem is to bound the spherical curve with a circle of given (radial) diameter $D$.
So the generalization of your theorem:
"If a spherical curve fits within a hemisphere w …
- 701
1
vote
Accepted
General reparameterization of a B-spline
B-splines are a basis-function representation for piecwise polynomial functions. Therefore, if the reparameterization you seek cannot be represented as a piecewise polynomial it cannot, in general, be …
- 701
2
votes
Explicitly describing the region of the plane "outward of" a simple, open, oriented, cubic c...
The interesting curve you discovered is the envelope of the normals to the curve and is called an evolute. More precisely, the curves that bound your region of interest are portions of the evolute of …
- 701