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Brooks, J. N. 1956-

Blaschke's rolling theorem in Rn / [electronic resource] J.N. Brooks and J.B. Strantzen. - Providence, R.I. : American Mathematical Society, c1989. - 1 online resource (vi, 101 p. : ill.) - Memoirs of the American Mathematical Society, v. 405 0065-9266 (print); 1947-6221 (online); .

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 $\mathbf ^n$ 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

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

ISBN: 9781470408282 (online)

Subjects--Topical Terms:
Convex sets.
Convex domains.

LC Class. No.: QA3 QA640 / .A57 no. 405

Dewey Class. No.: 510 s 516/.08