{"id":99,"date":"2018-11-09T11:58:39","date_gmt":"2018-11-09T13:58:39","guid":{"rendered":"http:\/\/www.professores.uff.br\/vitorbalestro\/?page_id=99"},"modified":"2019-01-17T11:56:33","modified_gmt":"2019-01-17T13:56:33","slug":"on-legendre-curves-in-normed-planes","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/vitorbalestro\/publications\/on-legendre-curves-in-normed-planes\/","title":{"rendered":"On Legendre curves in normed planes"},"content":{"rendered":"<p id=\"h.p_kz3l0TRhEp9t\" class=\"zfr3Q\">V. Balestro, H. Martini and R. Teixeira, <strong>On Legendre curves in normed planes,<\/strong> Pacific Journal of Mathematics 297, pp. 1-27, 2018. (<a class=\"dhtgD\" href=\"https:\/\/www.google.com\/url?q=https%3A%2F%2Farxiv.org%2Fabs%2F1704.04927&amp;sa=D&amp;sntz=1&amp;usg=AFQjCNHIN0y1bXmciQmEZkH-SvCIjNakEg\" target=\"_blank\" rel=\"noopener noreferrer\">arXiv link<\/a>) (<a href=\"https:\/\/msp.org\/pjm\/2018\/297-1\/pjm-v297-n1-p01-s.pdf\">journal link<\/a>)<\/p>\n<p id=\"h.p_zDV1UCvpEscC\" class=\"zfr3Q\">Comments: Legendre curves are smooth curves whose derivative may vanish at some points, but which still have a well defined tangent direction there. In this paper we extend the work of Fukunaga and Takahashi (see references in the text) by defining a curvature type for Legendre curves in a normed plane which is based on circular curvature. Here, the general theory behaves in a very similar way as the Euclidean subcase.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>V. Balestro, H. Martini and R. Teixeira, On Legendre curves in normed planes, Pacific Journal of Mathematics 297, pp. 1-27, 2018. (arXiv link) (journal link) Comments: Legendre curves are smooth curves whose derivative may vanish at some points, but which still have a well defined tangent direction there. In this paper we extend the work [&hellip;]<\/p>\n","protected":false},"author":205,"featured_media":0,"parent":12,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[],"tags":[],"class_list":["post-99","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages\/99","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/users\/205"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/comments?post=99"}],"version-history":[{"count":4,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages\/99\/revisions"}],"predecessor-version":[{"id":201,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages\/99\/revisions\/201"}],"up":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages\/12"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/media?parent=99"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/categories?post=99"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/tags?post=99"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}