{"id":125,"date":"2018-11-09T12:10:47","date_gmt":"2018-11-09T14:10:47","guid":{"rendered":"http:\/\/www.professores.uff.br\/vitorbalestro\/?page_id=125"},"modified":"2018-11-09T12:10:47","modified_gmt":"2018-11-09T14:10:47","slug":"angle-measures-general-rotations-and-roulettes-in-normed-planes","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/vitorbalestro\/publications\/angle-measures-general-rotations-and-roulettes-in-normed-planes\/","title":{"rendered":"Angle measures, general rotations, and roulettes in normed planes"},"content":{"rendered":"<p id=\"h.p_KwAsZMvfMa4E\" class=\"zfr3Q\">V. Balestro, \u00c1. G. Horv\u00e1th and H. Martini, <strong>Angle measures, general rotations, and roulettes in normed planes<\/strong>, Analysis and Mathematical Physics 7(4), pp. 549-575, 2017. (<a class=\"dhtgD\" href=\"https:\/\/www.google.com\/url?q=https%3A%2F%2Farxiv.org%2Fabs%2F1605.08670&amp;sa=D&amp;sntz=1&amp;usg=AFQjCNFv3fT1RMqhZP5qz_8Uh5690twS2w\" target=\"_blank\" rel=\"noopener noreferrer\">arXiv link<\/a>) (<a class=\"dhtgD\" href=\"https:\/\/www.google.com\/url?q=https%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs13324-016-0155-3&amp;sa=D&amp;sntz=1&amp;usg=AFQjCNEcn5PfZ0BXYrmn0G2Rs46ZsqIY5w\" target=\"_blank\" rel=\"noopener noreferrer\">journal link<\/a>)<\/p>\n<p id=\"h.p_O4AoHzspMb_e\" class=\"zfr3Q\">Comments: Fixing a Borel measure in the unit circle (or even in any star-like Jordan curve in the plane) one can define a group of &#8220;fixed angle rotations&#8221;. With this tool in hands, it is possible to define rigid motions of the plane. Finally, roulettes are defined and analogous to the Euler-Savary equations are obtained.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>V. Balestro, \u00c1. G. Horv\u00e1th and H. Martini, Angle measures, general rotations, and roulettes in normed planes, Analysis and Mathematical Physics 7(4), pp. 549-575, 2017. (arXiv link) (journal link) Comments: Fixing a Borel measure in the unit circle (or even in any star-like Jordan curve in the plane) one can define a group of &#8220;fixed [&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-125","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages\/125","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=125"}],"version-history":[{"count":1,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages\/125\/revisions"}],"predecessor-version":[{"id":126,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages\/125\/revisions\/126"}],"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=125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/categories?post=125"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/tags?post=125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}