Some Sharp Estimates for Convex Hypersurfaces of Pinched Normal Curvature
For a convex domain D bounded by the hypersurface ∂D in a space of constant curvature we give sharp bounds on the width R - r of a spherical shell with radii R and r that can enclose ∂D, provided that normal curvatures of ∂D are pinched by two positive constants. Furthermore, in the Euclidean case w...
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| Date: | 2015 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/118022 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Some Sharp Estimates for Convex Hypersurfaces of Pinched Normal Curvature / K. Drach // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 2. — С. 111-122. — Бібліогр.: 15 назв. — англ. |