{"id":823,"date":"2023-07-10T11:19:33","date_gmt":"2023-07-10T02:19:33","guid":{"rendered":"https:\/\/www.elst.okayama-u.ac.jp\/en\/?page_id=823"},"modified":"2025-01-22T14:49:44","modified_gmt":"2025-01-22T05:49:44","slug":"areas02_math","status":"publish","type":"page","link":"https:\/\/www.elst.okayama-u.ac.jp\/en\/education\/mc-suuri\/areas02_math\/","title":{"rendered":"Geometry"},"content":{"rendered":"<h4>&nbsp;<\/h4>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium\" src=\"https:\/\/www.elst.okayama-u.ac.jp\/up_load_files\/areas\/areas02_math\/theme.jpeg\" width=\"3536\" height=\"1989\"><\/p>\n<p>Geometry is the study of figures, which are technically called manifolds.<br \/>\nDifferential geometry is the field of the precise study of the shape of manifolds, using cues such as curvature and the behaviour of geodesics of (Riemannian) manifolds. Here geodesics are generalisations of straight lines in Euclidean space. On the other hand, topology is the field of the study of topological properties of manifolds by mapping algebraic invariants onto them.<br \/>\nThe basic algebraic invariants, for instance, are fundamental groups, homotopy groups, homology groups and cohomology groups.<\/p>\n<table class=\"el_table_fix\" style=\"width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 20%\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium\" src=\"https:\/\/www.elst.okayama-u.ac.jp\/up_load_files\/areas\/areas02_math\/KONDO Kei.jpeg\" width=\"320\" height=\"408\"><\/th>\n<td style=\"width: 80%\">\n<ul>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">Prof. KONDO Kei<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">E-mail: keikondo <span style=\"color: #0000ff\">[at]<\/span> okayama-u.ac.jp<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">Global Riemannian geometry (especially geodesic theory), Non-smooth analysis, Exotic structures, Minimal submanifolds from aspects of PDEs, and Origami\n<p><\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: 12pt\"><a class=\"el_linkBtn\" href=\"https:\/\/soran.cc.okayama-u.ac.jp\/html\/9aabd4f0d455679d74506e4da22f6611_en.html\">Directory of Researchers<\/a>\u3000<a class=\"el_linkBtn\" href=\"https:\/\/researchmap.jp\/7000021893?lang=en\">Researchmap<\/a><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright\" src=\"https:\/\/www.elst.okayama-u.ac.jp\/up_load_files\/areas\/areas02_math\/img_KONDO Kei.jpg\" alt=\"\" width=\"230\" height=\"146\"><\/p>\n<p><span style=\"font-size: 12pt\">I have studied the relationship between curvature and topology of Riemannian and Finsler manifolds using geodesic theory, and have also studied exotic spheres and origami through non-smooth analysis. <\/span><span style=\"font-size: 12pt\">In recent years my interest has shifted to minimal submanifolds (geometric analysis) from a PDE perspective.<\/span><\/p>\n<p><span style=\"font-size: 12pt\"><a class=\"el_linkBtn\" href=\"https:\/\/mathscinet.ams.org\/mathscinet\/author?authorId=690979\">American Mathematical Society; Mathematical Reviews<\/a><\/span><\/p>\n<p>&nbsp;<\/p>\n<table class=\"el_table_fix\" style=\"width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 20%\">&nbsp;<\/th>\n<td style=\"width: 80%\">\n<ul>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">Prof. JINZENJI Masao<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">E-mail: <span id=\"content_ousdb1_lp$002fitem$005b1$005d$002fsys_mail\">pcj70e4e<span style=\"color: #0000ff\"> [at]<\/span> <\/span>okayama-u.ac.jp<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">Geometry ,Mathematical Physics, Fundamentals of Condensed Matter Physics<br \/>\n<\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><span style=\"font-size: 12pt\"><a class=\"el_linkBtn\" href=\"https:\/\/soran.cc.okayama-u.ac.jp\/html\/9e0d7938ddbd05a874506e4da22f6611_en.html\">Directory of Researchers<\/a>&nbsp;<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<table class=\"el_table_fix\" style=\"width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 20%\">&nbsp;<\/th>\n<td style=\"width: 80%\">\n<ul>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">Prof. TORII Takeshi<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">E-mail: <span id=\"content_ousdb1_lp$002fitem$005b1$005d$002fsys_mail\">torii-t1<span style=\"color: #0000ff\"> [at]<\/span> <\/span>cc.okayama-u.ac.jp<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">Geometry&nbsp;<\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: 12pt\"><a class=\"el_linkBtn\" href=\"https:\/\/soran.cc.okayama-u.ac.jp\/html\/6dbb144fa5c2b6a874506e4da22f6611_en.html\">Directory of Researchers<\/a>&nbsp;<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h5>&nbsp;<\/h5>\n<p>&nbsp;<\/p>\n<table class=\"el_table_fix\" style=\"width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 20%\">&nbsp;<\/th>\n<td style=\"width: 80%\">\n<ul>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">Assoc. Prof. MONDEN Naoyuki<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">E-mail: <span id=\"content_ousdb1_lp$002fitem$005b6$005d$002fsys_mail\">n-monden<span style=\"color: #0000ff\"> [at]<\/span> <\/span>okayama-u.ac.jp<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">mapping class group, 4-dimensional topology<br \/>\n<\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: 12pt\"><a class=\"el_linkBtn\" href=\"https:\/\/soran.cc.okayama-u.ac.jp\/html\/87c5a43235d3b1f874506e4da22f6611_en.html\">Directory of Researchers<\/a>&nbsp;<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Geometry is the study of figures, which are technically called manifolds. Differential geometry is the  [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":140,"menu_order":53,"comment_status":"closed","ping_status":"closed","template":"template-layout_single.php","meta":{"footnotes":""},"class_list":["post-823","page","type-page","status-publish","hentry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"Geometry is the study of figures, which are tech\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/www.elst.okayama-u.ac.jp\/en\/education\/mc-suuri\/areas02_math\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.10\" \/>\n\t\t<meta property=\"og:locale\" content=\"ja_JP\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Graduate School of Environmental, Life, Natural Science and Technology | Okayama University - Graduate School of Environmental, Life, Natural Science and Technology | Okayama University\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Geometry - 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