02843nam 2200565 450 991082743690332120170821172000.01-4704-0828-7(CKB)3360000000464589(EBL)3113805(SSID)ssj0000973183(PQKBManifestationID)11560068(PQKBTitleCode)TC0000973183(PQKBWorkID)10958989(PQKB)10980712(MiAaPQ)EBC3113805(RPAM)2925118(PPN)195412885(EXLCZ)99336000000046458920140903h19891989 uy 0engur|n|---|||||txtccrBlaschke's rolling theorem in Rn /J.N. Brooks and J.B. StrantzenProvidence, Rhode Island :American Mathematical Society,1989.©19891 online resource (113 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 80, Number 405"July 1989, Volume 80, Number 405 (first of 5 numbers)."0-8218-2466-X Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 80, Number 405.Convex setsConvex domainsConvex sets.Convex domains.516/.08Brooks J. N(Jeffrey Noel),1956-1717509Strantzen J. B(John Bruce),1942-MiAaPQMiAaPQMiAaPQBOOK9910827436903321Blaschke's rolling theorem in Rn4113815UNINA