Namespaces
Variants
Actions

Limit cone

From Encyclopedia of Mathematics
Revision as of 17:20, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

of a convex surface

The surface of the cone formed by the straight half-lines emanating from some point and belonging to the convex body bounded by . The limit cone is defined uniquely, up to a parallel displacement depending on the choice of . The notion of a limit cone is also defined for certain classes of non-convex surfaces, e.g. for so-called spherical one-sheet saddle surfaces.

References

[1] A.V. Pogorelov, "Extrinsic geometry of convex surfaces" , Amer. Math. Soc. (1972) (Translated from Russian)


Comments

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
[a2] H. Busemann, "Convex surfaces" , Interscience (1958) pp. Chapt. III, Sect. 15
How to Cite This Entry:
Limit cone. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Limit_cone&oldid=33769
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article