LEADER 02843nam 2200565 450 001 9910788871703321 005 20170821172000.0 010 $a1-4704-0828-7 035 $a(CKB)3360000000464589 035 $a(EBL)3113805 035 $a(SSID)ssj0000973183 035 $a(PQKBManifestationID)11560068 035 $a(PQKBTitleCode)TC0000973183 035 $a(PQKBWorkID)10958989 035 $a(PQKB)10980712 035 $a(MiAaPQ)EBC3113805 035 $a(RPAM)2925118 035 $a(PPN)195412885 035 $a(EXLCZ)993360000000464589 100 $a20140903h19891989 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBlaschke's rolling theorem in Rn /$fJ.N. Brooks and J.B. Strantzen 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1989. 210 4$dİ1989 215 $a1 online resource (113 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 80, Number 405 300 $a"July 1989, Volume 80, Number 405 (first of 5 numbers)." 311 $a0-8218-2466-X 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""CHAPTER 4. THE SMOOTH CASE: APPLICATIONS TO DIFFERENTIAL GEOMETRY""""4.1 Local Representation of S as a Function""; ""4.2 Radii of Curvature Indicatrices""; ""4.2 Semi-Local Insideness in Terms of Radii of Curvature and Indicatrices""; ""PART II: COMMON BOUNDARIES OF TOUCHING CONVEX REGIONS AND BLASCHKE'S ROLLING THEOREM""; ""CHAPTER 5. INTRODUCTION""; ""CHAPTER 6. SOME PRELIMINARIES""; ""CHAPTER 7. EXISTENCE OF HYPERPLANES OF SUPPORT""; ""CHAPTER 8. COMMON BOUNDARIES RESULTS""; ""CHAPTER 9. APPLICATION TO SPHERES AND BLASCHKE'S ROLLING THEOREM""; ""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 80, Number 405. 606 $aConvex sets 606 $aConvex domains 615 0$aConvex sets. 615 0$aConvex domains. 676 $a516/.08 700 $aBrooks$b J. N$g(Jeffrey Noel),$f1956-$01486172 702 $aStrantzen$b J. B$g(John Bruce),$f1942- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788871703321 996 $aBlaschke's rolling theorem in Rn$93705588 997 $aUNINA