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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, Number 1, Pages 28–32
(Mi basm276)
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This article is cited in 1 scientific paper (total in 1 paper)
Research articles
Reconstruction of centrally symmetric convex bodies in $\boldsymbol{R^n}$
R. H. Aramyan Institute of Mathematics Armenian Academy of Sciences
Abstract:
The article considers the problem of existence and uniqueness of a centrally symmetric convex body in $\mathbb R^n$ for which the projection curvature radius function coincides with given function. A necessary and sufficient condition is found that ensures a positive answer. Also we find a representation for the support function of a centrally symmetric convex body.
Keywords and phrases:
convex geometry, integral geometry, projection curvature.
Received: 27.10.2009
Citation:
R. H. Aramyan, “Reconstruction of centrally symmetric convex bodies in $\boldsymbol{R^n}$”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011, no. 1, 28–32
Linking options:
https://www.mathnet.ru/eng/basm276 https://www.mathnet.ru/eng/basm/y2011/i1/p28
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Abstract page: | 165 | Full-text PDF : | 54 | References: | 35 | First page: | 1 |
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