๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Splitting and pinching for convex sets

โœ Scribed by Peter Kohlmann


Book ID
104649248
Publisher
Springer
Year
1996
Tongue
English
Weight
917 KB
Volume
60
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

โœฆ Synopsis


We consider noncompact, closed and convex sets with nonvoid interior in Euclidean space. It is shown that if such a set has one curvature measure sufficiently close to the boundary measure, then it is congruent to a product of a vector space and a compact convex body. Related stability and characterization theorems for orthogonal disc cylinders are proved. Our arguments are based on the Steiner-Schwarz symmetrization processes and generalized Minkowski integral formulas.


๐Ÿ“œ SIMILAR VOLUMES


Convex and strongly convex fuzzy sets
โœ Jรณzef Drewniak ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 360 KB
Canonical Theorems for Convex Sets
โœ J. Pach; J. Solymosi ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Springer ๐ŸŒ English โš– 138 KB
Barycentric coordinates for convex sets
โœ Joe Warren; Scott Schaefer; Anil N. Hirani; Mathieu Desbrun ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Springer ๐ŸŒ English โš– 298 KB