{"id":{"repo_id":"freiburg-diss","oai_identifier":"oai:freidok.uni-freiburg.de:1755"},"canonical_url":"https://search.dev.ndltd.org/etd/freiburg-diss/oai:freidok.uni-freiburg.de:1755","repository":{"repo_id":"freiburg-diss","name":"University of Freiburg","base_url":"https://freidok.uni-freiburg.de/oai/oai2.php"},"display":{"title":"Biharmonic maps","abstract":"We study the long-time existence and convergence of the gradient flow for the (intrinsic) biharmonic energy under suitable curvature or initial energy assumptions. Moreover we use the biharmonic energy to regularize the Dirichlet energy for maps from a Riemannian surface into a round sphere. Finally we prove the so called energy identity for this regularization.","abstract_html":"We study the long-time existence and convergence of the gradient flow for the (intrinsic) biharmonic energy under suitable curvature or initial energy assumptions. Moreover we use the biharmonic energy to regularize the Dirichlet energy for maps from a Riemannian surface into a round sphere. Finally we prove the so called energy identity for this regularization.","abstract_has_math":false,"creators":["Lamm, Tobias"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Kuwert, Ernst"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":null,"date_issued":"","date_published":null,"updated_at":"2026-07-24T02:22:28Z","subjects":["harmonic maps","geometric evolution equations"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://freidok.uni-freiburg.de/data/1755","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Kuwert, Ernst"]},{"key":"dc:creator","label":"Author","values":["Lamm, Tobias"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:type","label":"Dc Type","values":["DoctoralThesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["harmonic maps","geometric evolution equations"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We study the long-time existence and convergence of the gradient flow for the (intrinsic) biharmonic energy under suitable curvature or initial energy assumptions. Moreover we use the biharmonic energy to regularize the Dirichlet energy for maps from a Riemannian surface into a round sphere. Finally we prove the so called energy identity for this regularization.","Unter geeigneten Vorraussetzungen an die Krümmung einer Riemannschen Mannigfaltigkeit oder an die Anfangsenergie einer Abbildung untersuchen wir die globale Existenz und Konvergenz des Gradientenflusses der (intrinsischen) biharmonischen Energie. Desweiteren benutzen wir die biharmonische Energie um eine Regularisierung der Dirichlet-Energie einer Abbildung zwischen einer Riemannschen Fläche und einer runden Sphäre zu untersuchen. Für diese Regularisierung beweisen wir dann die so genannte Energieidentität."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Biharmonic maps","Biharmonische Abbildungen"]}]}],"canonical_facts":{"dc:contributor":["Kuwert, Ernst"],"dc:creator":["Lamm, Tobias"],"dc:description.abstract":["We study the long-time existence and convergence of the gradient flow for the (intrinsic) biharmonic energy under suitable curvature or initial energy assumptions. Moreover we use the biharmonic energy to regularize the Dirichlet energy for maps from a Riemannian surface into a round sphere. Finally we prove the so called energy identity for this regularization.","Unter geeigneten Vorraussetzungen an die Krümmung einer Riemannschen Mannigfaltigkeit oder an die Anfangsenergie einer Abbildung untersuchen wir die globale Existenz und Konvergenz des Gradientenflusses der (intrinsischen) biharmonischen Energie. Desweiteren benutzen wir die biharmonische Energie um eine Regularisierung der Dirichlet-Energie einer Abbildung zwischen einer Riemannschen Fläche und einer runden Sphäre zu untersuchen. Für diese Regularisierung beweisen wir dann die so genannte Energieidentität."],"dc:format.medium":["application/pdf"],"dc:subject":["harmonic maps","geometric evolution equations"],"dc:title":["Biharmonic maps","Biharmonische Abbildungen"],"dc:type":["DoctoralThesis"]},"updated_at":"2026-07-24T02:22:28Z"}