论文信息 - The Floating Body and the Equiaffine Inner Parallel Curve of a Plane Convex Body

The Floating Body and the Equiaffine Inner Parallel Curve of a Plane Convex Body

The floating body of a plane convex body K is defined as the convex body in K all tangent lines of which cut off from K segments of area s. We investigate asymptotic properties of the floating body as s → 0 and prove for smooth K an asymptotic expansion for the area of the floating body. Our theorem implies an extension of a classical result of Rényi and Sulanke in geometric probability.

Matthias Reitzner | M. Reitzner

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