Blaschke's rolling theorem in Rn /

Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Brooks, J. N. (Jeffrey Noel), 1956- (Author), Strantzen, J. B. (John Bruce), 1942- (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, Rhode Island : American Mathematical Society, 1989.
Series:Memoirs of the American Mathematical Society ; Volume 80, no. 405.
Subjects:
Convex sets.
Convex domains.
Ensembles convexes.
Algèbres convexes.
Convex domains
Convex sets
Online Access:Texto completo
Table of Contents:
  • TABLE OF CONTENTS
  • PART I: LOCAL CONDITIONS FOR CONTAINMENT
  • CHAPTER 0. INTRODUCTION
  • CHAPTER 1. MAIN RESULT AND SKETCH PROOF
  • 1.1 Definitions and Statement of Main Result
  • CHAPTER 2. THE MAIN RESULT FOR CURVES
  • 2.1 Preliminary Results and Notation
  • 2.2 The Main Result for Curves
  • CHAPTER 3. CONVEX REGIONS IN R[sup(n)]
  • 3.1 Preliminary Results
  • 3.2 Faithful Projections
  • 3.3 Proving Lemma 1.1.5
  • 3.4 Proving Theorem 1.1.4
  • 3.5 Possible Generalisations of the Main Theorem
  • CHAPTER 4. THE SMOOTH CASE: APPLICATIONS TO DIFFERENTIAL GEOMETRY4.1 Local Representation of S as a Function
  • 4.2 Radii of Curvature Indicatrices
  • 4.2 Semi-Local Insideness in Terms of Radii of Curvature and Indicatrices
  • PART II: COMMON BOUNDARIES OF TOUCHING CONVEX REGIONS AND BLASCHKE'S ROLLING THEOREM
  • CHAPTER 5. INTRODUCTION
  • CHAPTER 6. SOME PRELIMINARIES
  • CHAPTER 7. EXISTENCE OF HYPERPLANES OF SUPPORT
  • CHAPTER 8. COMMON BOUNDARIES RESULTS
  • CHAPTER 9. APPLICATION TO SPHERES AND BLASCHKE'S ROLLING THEOREM
  • REFERENCES

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