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CONVEXITY AND THE HEMISPHERE
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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 | ||||
| Official Date: | June 1991 | ||||
| Dates: |
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| Volume: | 43 | ||||
| Number: | Part 3 | ||||
| Number of Pages: | 10 | ||||
| Page Range: | pp. 567-576 | ||||
| Publication Status: | Published |
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