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| Published in |
Journal of Gökova Geometry Topology, Volume 10 (2016) |
| Title |
Extensions of Koenderink's formula
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| Authors |
Toshizumi Fukui, Masaru Hasegawa, and Kentaro Saji
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| Abstract |
We describe Koenderink type theorems for Whitney umbrellas which
hold along special curves.
We also show that the shape (convexity and concavity) of images of
orthogonal projections of Whitney umbrellas relates to the Gaussian
curvature, even though it is unbounded near the singularity.
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| Keywords |
Whitney umbrella, cross-cap, Koenderink, projection, contour
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| Pages | 42-59 |
| Download |
PDF |
| Submitted: | Nov 5, 2015 |
| Accepted: | Jul 21, 2016 |
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