About this Book

Blaschke rolling theorem in its original form dealt with the problem of finding sufficient conditions for a ball [italic]D1 to roll freely inside a compact convex set [italic]D2 with a non-empty interior. The paper is divided into two parts. Part I is primarily concerned with producing conditions of a local nature sufficient to ensure an arbitrary open convex set [italic]B1 is a subset of another arbitrary open convex set [italic]B2. Part I sets up the machinery for Part II, where necessary and sufficient conditions of a local nature are found for the general free rolling problem.