Back to Search
Start Over
Complete spherical convex bodies.
- Source :
-
Journal of Geometry . Aug2020, Vol. 111 Issue 2, p1-6. 6p. - Publication Year :
- 2020
-
Abstract
- Similarly to the classic notion in Euclidean space, we call a set on the sphere S d complete, provided adding any extra point increases its diameter. Complete sets are convex bodies on S d . Our main theorem says that on S d complete bodies of diameter δ coincide with bodies of constant width δ . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00472468
- Volume :
- 111
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry
- Publication Type :
- Academic Journal
- Accession number :
- 144397005
- Full Text :
- https://doi.org/10.1007/s00022-020-00547-2