{"id":106,"date":"2021-05-18T14:46:14","date_gmt":"2021-05-18T17:46:14","guid":{"rendered":"http:\/\/www.professores.uff.br\/paulogusmao\/?page_id=106"},"modified":"2025-02-22T11:16:40","modified_gmt":"2025-02-22T14:16:40","slug":"research","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/paulogusmao\/research\/","title":{"rendered":"RESEARCH"},"content":{"rendered":"<p><div class=\"et_d4_element et_pb_section et_pb_section_0  et_pb_css_mix_blend_mode et_section_regular et_block_section\" >\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_d4_element et_pb_row et_pb_row_0 et_clickable  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_2_3 et_pb_column et_pb_column_0  et_pb_css_mix_blend_mode et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_text et_pb_text_0  et_pb_text_align_left et_pb_bg_layout_light\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_text_inner\"><ol>\n<li style=\"text-align: justify\"><span style=\"text-decoration: underline\"><span style=\"color: #3366ff;text-decoration: underline\">Leaf topology of minimal hyperbolic foliations with non <\/span><\/span><span style=\"text-decoration: underline\"><span style=\"color: #3366ff;text-decoration: underline\">simply-connected generic leaf <\/span><\/span><span style=\"color: #3366ff\">\u00a0<span>Joint work <\/span>with Carlos Meni\u00f1o Cot\u00f3n; Proc. Amer. Math. Soc.\u00a0<strong>153<\/strong> (2025), 851-864 DOI:https:\/\/doi.org\/10.1090\/proc\/16842<\/span><\/li>\n<\/ol><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div><div class=\"et_d4_element et_pb_column_1_3 et_pb_column et_pb_column_1  et_pb_css_mix_blend_mode et-last-child et_block_column et_pb_column_empty\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_1 et_clickable  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_4_4 et_pb_column et_pb_column_2  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_text et_pb_text_1 et_clickable  et_pb_text_align_left et_pb_bg_layout_light\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_text_inner\"><p class=\"western\" align=\"left\"><span style=\"text-decoration: underline;font-size: medium;color: #3366ff\"><span><span>Every noncompact surface is a leaf of a minimal foliation (2024)<\/span><\/span><\/span><span><span>\u00a0<\/span><\/span><span style=\"font-size: 16px;color: #3366ff\"> Joint work with Carlos Meni\u00f1o Cot\u00f3n; Rev. Mat. Iberoam. 40 (2024), no. 4, 1207\u20131248<br \/><\/span><\/p><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_2  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_4_4 et_pb_column et_pb_column_3  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_text et_pb_text_2 et_clickable  et_pb_text_align_left et_pb_bg_layout_light\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_text_inner\"><p><span style=\"text-decoration: underline;color: #3366ff\">Homeomorfismos de 1-Variedades n\u00e3o Hausdorff com uma dire\u00e7\u00e3o de ramifica\u00e7\u00e3o (in Portuguese) (Revista Papa Goiaba , Niter\u00f3i v. 1, n. 1 (2019) 1-12 (online)) \u2013 Joint work with Guilherme Brand\u00e3o Guglielmo.<\/span><\/p><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_3 et_clickable  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_4_4 et_pb_column et_pb_column_4  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_text et_pb_text_3 et_clickable  et_pb_text_align_left et_pb_bg_layout_light\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_text_inner\"><p class=\"western\" align=\"left\"><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00574-004-0013-z#preview\"><span style=\"text-decoration: underline\"><span style=\"color: #3366ff;text-decoration: underline\"><span><span lang=\"zxx\"><span><span style=\"font-size: medium\">Foliations on 3-manifolds which are\u00a0the classifying space of themselves.<\/span><\/span><\/span><\/span><span style=\"font-size: medium\"><br \/><\/span><\/span><\/span><span style=\"color: #3366ff\"><span lang=\"zxx\"><span style=\"font-size: medium\"><span>(Bull Braz Math Soc, New Series 35(2), 253-267 \u00a9 2004, Sociedade Brasileira de Matem\u00e1tica) - joint work with Alberto Sarmiento<\/span><span style=\"text-decoration: underline\">.<\/span><\/span><\/span><\/span><\/a><\/p>\n<p class=\"western\" align=\"left\"><\/div>\n\t\t\t<\/div><div class=\"et_pb_module et_d4_element et_pb_text et_pb_text_4 et_clickable  et_pb_text_align_left et_pb_bg_layout_light\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_text_inner\"><blockquote>\n<p class=\"western\" align=\"left\"><span style=\"text-decoration: underline\"><span style=\"color: #3366ff;text-decoration: underline\"><span><span lang=\"zxx\"><a href=\"https:\/\/www.ms.u-tokyo.ac.jp\/journal\/pdf\/jms070307.pdf\" style=\"color: #3366ff;text-decoration: underline\"><span><span style=\"font-size: medium\">Feuilletages Mesur\u00e9s et\u00a0Pseudogroupes d\u2019Isom\u00e9tries du Cercle.<\/span><\/span><\/a><\/span><\/span><span style=\"font-size: medium\"><br \/><\/span><\/span><\/span><span style=\"color: #3366ff\"><span lang=\"zxx\"><span style=\"font-size: medium\"><a href=\"http:\/\/ganuff.weebly.com\/uploads\/1\/9\/2\/5\/19255685\/feuilletages_mesures.pdf\" style=\"color: #3366ff;text-decoration: underline\">(J. Math. Sci. Univ. Tokyo\u00a07 (2000), 487\u2013508)<\/a>.<\/span><\/span><\/span><\/p>\n<\/blockquote><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_4 et_clickable  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_4_4 et_pb_column et_pb_column_5  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_text et_pb_text_5 et_clickable  et_pb_text_align_left et_pb_bg_layout_light\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_text_inner\"><p class=\"western\" align=\"left\"><span style=\"text-decoration: underline\"><span style=\"color: #3366ff;text-decoration: underline\"><span><span lang=\"zxx\"><a href=\"https:\/\/www.ms.u-tokyo.ac.jp\/journal\/pdf\/jms010207.pdf\" style=\"color: #3366ff;text-decoration: underline\"><span><span style=\"font-size: medium\">Groupes fondamentales associ\u00e9s aux feuilletages\u00a0de codimension un mesur\u00e9s<\/span><\/span><\/a><\/span><\/span><span style=\"font-size: medium\"><br \/><\/span><span><span lang=\"zxx\"><a href=\"http:\/\/ganuff.weebly.com\/uploads\/1\/9\/2\/5\/19255685\/groupes_foudamentales.pdf\" style=\"color: #3366ff;text-decoration: underline\"><span><span style=\"font-size: medium\">\u00a0<\/span><\/span><\/a><\/span><\/span><span><span lang=\"zxx\"><span><span style=\"font-size: medium\"><a href=\"http:\/\/ganuff.weebly.com\/uploads\/1\/9\/2\/5\/19255685\/groupes_foudamentales.pdf\" style=\"color: #3366ff;text-decoration: underline\">(J. Math. Sci. Univ. Tokyo\u00a01 (1994), 393\u2013422)<\/a>.<\/span><\/span><\/span><\/span><\/span><\/span><\/p><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_5  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_4_4 et_pb_column et_pb_column_6  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_text et_pb_text_6  et_pb_text_align_left et_pb_bg_layout_light\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_text_inner\"><h1><span style=\"color: #800080\"><span class=\"HwtZe\" lang=\"en\"><span class=\"jCAhz ChMk0b\"><span class=\"ryNqvb\">Accepted Articles<\/span><\/span><\/span> and Preprints<\/span><\/h1><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_section et_pb_section_1  et_pb_css_mix_blend_mode et_section_regular et_block_section\" >\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":204,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-106","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/paulogusmao\/wp-json\/wp\/v2\/pages\/106","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/paulogusmao\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/paulogusmao\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/paulogusmao\/wp-json\/wp\/v2\/users\/204"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/paulogusmao\/wp-json\/wp\/v2\/comments?post=106"}],"version-history":[{"count":33,"href":"https:\/\/www.professores.uff.br\/paulogusmao\/wp-json\/wp\/v2\/pages\/106\/revisions"}],"predecessor-version":[{"id":333,"href":"https:\/\/www.professores.uff.br\/paulogusmao\/wp-json\/wp\/v2\/pages\/106\/revisions\/333"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/paulogusmao\/wp-json\/wp\/v2\/media?parent=106"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/paulogusmao\/wp-json\/wp\/v2\/categories?post=106"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/paulogusmao\/wp-json\/wp\/v2\/tags?post=106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}