{"id":302,"date":"2021-09-21T11:30:45","date_gmt":"2021-09-21T11:30:45","guid":{"rendered":"https:\/\/geometry.ulb.ac.be\/bowl\/?page_id=302"},"modified":"2021-10-24T19:27:12","modified_gmt":"2021-10-24T19:27:12","slug":"thomas-koerber-vienna","status":"publish","type":"page","link":"https:\/\/geometry.ulb.ac.be\/bowl\/thomas-koerber-vienna\/","title":{"rendered":"Thomas Koerber (Vienna)"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Thomas Koerber will talk on 2nd November at 2pm UK time, 3pm Belgian time. Thomas&#8217;s title is &#8220;Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres&#8221; and his abstract is below.<\/p>\n\n\n\n<!--more-->\n\n\n\n<h4 class=\"wp-block-heading\">Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Stable constant mean curvature spheres encode important information on the asymptotic geometry of initial data sets for isolated gravitational systems. In this talk, I will present a short new proof (joint with M. Eichmair) based on Lyapunov-Schmidt reduction of the existence of an asymptotic foliation of such an initial data set by stable constant mean curvature spheres. In the case where the scalar curvature is non-negative, our method also shows that the leaves of this foliation are the only large stable constant mean curvature spheres that enclose the center of the initial data set.\u00a0<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Thomas Koerber will talk on 2nd November at 2pm UK time, 3pm Belgian time. Thomas&#8217;s title is &#8220;Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres&#8221; and his abstract is below.<\/p>\n","protected":false},"author":1,"featured_media":65,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"class_list":["post-302","page","type-page","status-publish","has-post-thumbnail","entry"],"featured_image_src":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-content\/uploads\/sites\/8\/2020\/08\/Oak-Asatru-Blot-Bowl-by-Dragonoak-600x400.jpg","featured_image_src_square":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-content\/uploads\/sites\/8\/2020\/08\/Oak-Asatru-Blot-Bowl-by-Dragonoak-600x600.jpg","_links":{"self":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/302","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/comments?post=302"}],"version-history":[{"count":2,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/302\/revisions"}],"predecessor-version":[{"id":322,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/302\/revisions\/322"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/media\/65"}],"wp:attachment":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/media?parent=302"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}