Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/26027
Título: | Local properties of the surface measure of convex bodies |
Autor: | Plakhov, Alexander |
Palavras-chave: | Convex sets Blaschke addition Newton's problems of minimal resistance |
Data: | 2019 |
Editora: | Heldermann Verlag |
Resumo: | It is well known that any measure in S^2 satisfying certain simple conditions is the surface measure of a bounded convex body in R^3. It is also known that a local perturbation of the surface measure may lead to a nonlocal perturbation of the corresponding convex body. We prove that, under mild conditions on the convex body, there are families of perturbations of its surface measure forming line segments, with the original measure at the midpoint, corresponding to {\it local} perturbations of the body. Moreover, there is, in a sense, a huge amount of such families. We apply this result to Newton's problem of minimal resistance for convex bodies. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/26027 |
ISSN: | 0944-6532 |
Aparece nas coleções: | CIDMA - Artigos OGTCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Newton Linear 15.pdf | 236.04 kB | Adobe PDF |
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