Asymptotic Direction

An asymptotic direction at a point p of a Regular Surface is a direction in which theNormal Curvature of vanishes.

1. There are no asymptotic directions at an Elliptic Point.

2. There are exactly two asymptotic directions at a Hyperbolic Point.

3. There is exactly one asymptotic direction at a Parabolic Point.

4. Every direction is asymptotic at a Planar Point.

References

Gray, A. Modern Differential Geometry of Curves and Surfaces.Boca Raton, FL: CRC Press, pp. 270 and 320, 1993.

• Borel Sigma Algebra
• Borel Space
• Borromean Rings
• Borrow
• Borsuk's Conjecture
• Borwein Conjectures
• Bouligand Dimension
• Bound
• Boundary
• Boundary Conditions
• Boundary Map
• Boundary Point
• Boundary Set
• Boundary Value Problem
• Bounded
• Bounded Variation
• Bound Variable
• Bourget Function
• Bourget's Hypothesis
• Boustrophedon Transform
• Bovinum Problema
• Bow
• Bowditch Curve
• Bowley Index
• Bowley Skewness