J Austral Math Soc Ser A 59 pp266--272, 1995.

When Can One Domain Enclose Another in R3?

Jiazu Zhou

(Received 2 Februaty 1993; revised 1 July 1993)

Abstract

In this paper, we give a sufficient condition (Theorem) in order that one domain D1 bounded by a C2-smooth boundary can be enclosed in, or enclose, another domain D0 bounded by the same kind of boundary. A same kind of sufficient condition for conves bodies (Corollary) is also attained.

1991 AMS Subject Classification: primary 52A22, 53C21; secondary 51M16

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Authors

Jiazu Zhou
Department of Mathematics, Temple University, Philadelphia, PA 19122, USA.
mailto:zhou@euclid.math.temple.edu

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Last Modified: Thu Jan 9 9:04:24 2003

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