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https://hdl.handle.net/1959.11/3279| Title: | Envelopes of splines in the projective plane | Contributor(s): | Krakowski, Krzysztof (author) | Publication Date: | 2005 | DOI: | 10.1093/imamci/dni014 | Handle Link: | https://hdl.handle.net/1959.11/3279 | Abstract: | In this paper a family of curves - Riemannian cubics - in the unit sphere and the real projective plane is investigated. Riemannian cubics naturally arise as solutions to variational problems in Riemannian spaces. It is remarkable to find that an envelope of lines generated by a Riemannian cubic in one space is (nearly) a Riemannian cubic in another space. | Publication Type: | Journal Article | Source of Publication: | IMA Journal of Mathematical Control and Information, 22(2), p. 171-180 | Publisher: | Oxford University Press | Place of Publication: | United Kingdom | ISSN: | 0265-0754 | Fields of Research (FoR) 2008: | 010102 Algebraic and Differential Geometry | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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| Appears in Collections: | Journal Article |
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