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Exterior normal

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to a convex surface

A vector perpendicular to a supporting hyperplane and directed towards that half-space defined by the supporting hyperplane which does not contain the points of the surface.


Comments

Analogously one defines the exterior normal to a body; for a survey in a wider context see [a1].

References

[a1] R. Schneider, "Boundary structure and curvature of convex bodies" J. Tölke (ed.) J.M. Wills (ed.) , Contributions to geometry , Birkhäuser (1979) pp. 13–59
How to Cite This Entry:
Exterior normal. E.V. Shikin (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Exterior_normal&oldid=13565
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098