AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Blaschke’s rolling theorem in $R^{n}$
About this Title
J. N. Brooks and J. B. Strantzen
Publication: Memoirs of the American Mathematical Society
Publication Year:
1989; Volume 80, Number 405
ISBNs: 978-0-8218-2466-5 (print); 978-1-4704-0828-2 (online)
DOI: https://doi.org/10.1090/memo/0405
MathSciNet review: 974998
MSC: Primary 52A20
Table of Contents
Chapters
- Part I. Local conditions for containment
- 0. Introduction
- 1. Main result and sketch proof
- 2. The main result for curves
- 3. Convex regions in $\mathbf {R}^n$
- 4. The smooth case: Applications to differential geometry
- Part II. Common boundaries of touching convex regions and Blaschke’s rolling theorem
- 5. Introduction
- 6. Some preliminaries
- 7. Existence of hyperplanes of support
- 8. Common boundaries results
- 9. Application to spheres and Blaschke’s rolling theorem