{"id":1506,"date":"2023-05-16T15:09:28","date_gmt":"2023-05-16T07:09:28","guid":{"rendered":"https:\/\/blog.vanabel.cn\/?p=1506"},"modified":"2023-05-16T15:09:28","modified_gmt":"2023-05-16T07:09:28","slug":"energy-quantization-for-willmore-surfaces-with-bounded-index","status":"publish","type":"post","link":"https:\/\/blog.vanabel.cn\/?p=1506","title":{"rendered":"Energy quantization for Willmore surfaces with bounded index"},"content":{"rendered":"<p>Title: Energy quantization for Willmore surfaces with bounded index<br \/>\nAuthors: Dorian Martino<br \/>\nCategories: math.DG math.AP<br \/>\nComments: 49 pages<br \/>\n\\\\<br \/>\n We prove an energy quantization result for Willmore surfaces with bounded<br \/>\nindex, whether the underlying Riemann surfaces degenerates in the moduli space<br \/>\nor not. To do so, we translate the question on the conformal Gauss map&#8217;s point<br \/>\nof view. In particular, we prove that in a neck or a collar region, the<br \/>\nconformal Gauss map converges to a light-like geodesic in the De Sitter space.<br \/>\n\\\\ ( https:\/\/arxiv.org\/abs\/2305.08668 ,  43kb)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title: Energy quantization for Willmore surfaces with b&hellip; <a class=\"more-link\" href=\"https:\/\/blog.vanabel.cn\/?p=1506\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">Energy quantization for Willmore surfaces with bounded index<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[248],"tags":[257,258],"class_list":["post-1506","post","type-post","status-publish","format-standard","hentry","category-arxiv","tag-conformal-gauss-map","tag-de-sitter-space","entry"],"_links":{"self":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1506","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=1506"}],"version-history":[{"count":1,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1506\/revisions"}],"predecessor-version":[{"id":1507,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1506\/revisions\/1507"}],"wp:attachment":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1506"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1506"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1506"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}