Up: Principal Curvatures
Some other surfaces
The paraboloid
In this case, at p =(0,0,0), k1 = k2. Points such as
p where k1 = k2 are called umbilical points.
The Monkey Saddle
In this case k1 = k2 = 0 at p=(0,0,0).
The Dog Saddle
In this case k1 = k2 = 0 at p=(0,0,0).
The Parabolic Cylinder
Up: Principal Curvatures
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