Estimates for the Gaussian Curvature of a Strictly Convex Surface and its Integral Parameters
Closed and non-closed (with planar edges) strictly convex surfaces with continuous curvatures are considered. Upper and lower bounds are obtained for the Gaussian curvature under various restrictions imposed on integral parameters of a surface: the diameter and width of the surface, the volume of th...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/145855 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Estimates for the Gaussian Curvature of a Strictly Convex Surface and its Integral Parameters / V.I. Babenko // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 1. — С. 3-15. — Бібліогр.: 6 назв. — англ. |