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UNINA9910480031103321 |
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Autore |
Brooks J. N (Jeffrey Noel), <1956-> |
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Titolo |
Blaschke's rolling theorem in Rn / / J.N. Brooks and J.B. Strantzen |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1989 |
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©1989 |
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ISBN |
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Descrizione fisica |
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1 online resource (113 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 80, Number 405 |
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Disciplina |
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Soggetti |
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Convex sets |
Convex domains |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"July 1989, Volume 80, Number 405 (first of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 GEOMETRY""""4.1 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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