UNSPECIFIED. (1991) CONVEXITY AND THE HEMISPHERE. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 43 (Part 3). pp. 567-576. ISSN 0024-6107

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Abstract

An explicit construction is given of continuous bounded non-negative convex functions which are defined on the product of a small hemisphere with itself and which vanish precisely on the diagonal. It is shown that no such function exists for the strict hemisphere, even if the boundedness requirement is lifted. The generalization to regular geodesic balls is indicated.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
Publisher:	LONDON MATH SOC
ISSN:	0024-6107
Date:	June 1991
Volume:	43
Number:	Part 3
Number of Pages:	10
Page Range:	pp. 567-576
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/22489

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