{"id":{"repo_id":"cornell","oai_identifier":"oai:ecommons.cornell.edu:1813/13942"},"canonical_url":"https://search.dev.ndltd.org/etd/cornell/oai:ecommons.cornell.edu:1813/13942","repository":{"repo_id":"cornell","name":"Cornell University","base_url":"https://ecommons.cornell.edu/server/oai/request"},"display":{"title":"Foliations For Quasi-Fuchsian 3-Manifolds","abstract":"In this paper, we prove that if a quasi-Fuchsian 3-manifold contains a minimal surface whose principal curvatures are in (-1, 1), then it admits a foliation such that each leaf is a surface of constant mean curvature. The key method that we use here is volume preserving mean curvature flow.","abstract_html":"In this paper, we prove that if a quasi-Fuchsian 3-manifold contains a minimal surface whose principal curvatures are in (-1, 1), then it admits a foliation such that each leaf is a surface of constant mean curvature. The key method that we use here is volume preserving mean curvature flow.","abstract_has_math":false,"creators":["Wang, Biao"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2009,"date_issued":"2009-10-13T20:26:02Z","date_published":"2009-10-13T20:26:02Z","updated_at":"2026-07-24T01:48:58Z","subjects":[],"languages":["en_US"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/1813/13942","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Wang, Biao"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2009-10-13T20:26:02Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-10-13T06:27:40Z"]},{"key":"dc:date.issued","label":"Date","values":["2009-10-13T20:26:02Z"]},{"key":"dc:type","label":"Dc Type","values":["dissertation or thesis"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/1813/13942"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this paper, we prove that if a quasi-Fuchsian 3-manifold contains a minimal surface whose principal curvatures are in (-1, 1), then it admits a foliation such that each leaf is a surface of constant mean curvature. The key method that we use here is volume preserving mean curvature flow."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Foliations For Quasi-Fuchsian 3-Manifolds"]}]}],"canonical_facts":{"dc:creator":["Wang, Biao"],"dc:date.accessioned":["2009-10-13T20:26:02Z"],"dc:date.available":["2014-10-13T06:27:40Z"],"dc:date.issued":["2009-10-13T20:26:02Z"],"dc:description.abstract":["In this paper, we prove that if a quasi-Fuchsian 3-manifold contains a minimal surface whose principal curvatures are in (-1, 1), then it admits a foliation such that each leaf is a surface of constant mean curvature. The key method that we use here is volume preserving mean curvature flow."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["https://hdl.handle.net/1813/13942"],"dc:language.iso":["en_US"],"dc:title":["Foliations For Quasi-Fuchsian 3-Manifolds"],"dc:type":["dissertation or thesis"]},"updated_at":"2026-07-24T01:48:58Z"}