{"id":1478,"date":"2023-05-10T01:40:39","date_gmt":"2023-05-09T17:40:39","guid":{"rendered":"https:\/\/blog.vanabel.cn\/blog\/2023\/05\/10\/https-arxiv-org-pdf-2109-09311-pdf-direct-minimizing\/"},"modified":"2023-05-14T00:37:03","modified_gmt":"2023-05-13T16:37:03","slug":"https-arxiv-org-pdf-2109-09311-pdf-direct-minimizing","status":"publish","type":"post","link":"https:\/\/blog.vanabel.cn\/?p=1478","title":{"rendered":"DIRECT MINIMIZING METHOD FOR YANG-MILLS ENERGY OVER SO(3) BUNDLE"},"content":{"rendered":"<p>DIRECT MINIMIZING METHOD FOR YANG-MILLS ENERGY OVER SO(3) BUNDLE<br \/>\nIn this paper, we use the direct minimizing method to find Yang- Mills connections for SO(3) bundles over closed four manifolds. By constructing test connections, we prove that a minimizing sequence converges strongly to a minimizer under certain assumptions. In case the strong convergence fails, we find an anti-selfdual (or selfdual) connection.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>DIRECT MINIMIZING METHOD FOR YANG-MILLS ENERGY OVER SO(&hellip; <a class=\"more-link\" href=\"https:\/\/blog.vanabel.cn\/?p=1478\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">DIRECT MINIMIZING METHOD FOR YANG-MILLS ENERGY OVER SO(3) BUNDLE<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"status","meta":{"footnotes":""},"categories":[248],"tags":[226,224,225,81],"class_list":["post-1478","post","type-post","status-publish","format-status","hentry","category-arxiv","tag-chern-classes","tag-minimizing","tag-taubes-construction","tag-yang-mills","post_format-post-format-status","entry"],"_links":{"self":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1478","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1478"}],"version-history":[{"count":1,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1478\/revisions"}],"predecessor-version":[{"id":1495,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1478\/revisions\/1495"}],"wp:attachment":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1478"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1478"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1478"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}