Vol. 144, No. 2, 1990

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An estimate of the volume of a compact set in terms of its integral of mean curvature

Young Do Chai

Vol. 144 (1990), No. 2, 229–235
Abstract

A geometric inequality for a compact set in euclidean 3 space is obtained. The inequality involves volume and integral of mean curvature. Also some property of the compact set is studied. The method of outer parallel bodies is used in the proof.

Mathematical Subject Classification 2000
Primary: 52A38
Secondary: 28A75, 52A22, 52A40
Milestones
Received: 13 September 1988
Published: 1 August 1990
Authors
Young Do Chai