TY - BOOK AU - Brooks,J.N. AU - Strantzen,J.B. TI - Blaschke's rolling theorem in Rn T2 - Memoirs of the American Mathematical Society, SN - 9781470408282 (online) AV - QA3QA640 .A57 no. 405 U1 - 510 s516/.08 20 PY - 1989/// CY - Providence, R.I. PB - American Mathematical Society KW - Convex sets KW - Convex domains N1 - On t.p. the "n" in Rn in title appears as superscript; "July 1989, volume 80 number 405 (first of 5 numbers)."; Includes bibliographical references (p. 101); 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0405 UR - http://dx.doi.org/10.1090/memo/0405 ER -