Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/26027
 Title: Local properties of the surface measure of convex bodies Author: Plakhov, Alexander Keywords: Convex setsBlaschke additionNewton's problems of minimal resistance Issue Date: 2019 Publisher: Heldermann Verlag Abstract: 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 Appears in Collections: CIDMA - ArtigosOGTCG - Artigos

Files in This Item:
File Description SizeFormat
Newton Linear 15.pdf236.04 kBAdobe PDF

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.