{"id":{"repo_id":"cagliari","oai_identifier":"oai:iris.unica.it:11584/266274"},"canonical_url":"https://search.dev.ndltd.org/etd/cagliari/oai:iris.unica.it:11584/266274","repository":{"repo_id":"cagliari","name":"Università di Cagliari","base_url":"https://iris.unica.it/oai/request"},"display":{"title":"Balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space","abstract":"This thesis deals with two different subjects: balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space. Correspondingly we have two main results. In the first one we prove that if a holomorphic vector bundle E over a compact Kähler manifold (M,ω) admits a ω-balanced metric then this metric is unique. In the second one, after defining the diastatic exponential of a real analytic Kähler manifold, we prove that for every point p of an Hermitian symmetric space of noncompact type there exists a globally defined diastatic exponential centered in p which is a diffeomorphism and it is uniquely determined by its restriction to polydisks.","abstract_html":"This thesis deals with two different subjects: balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space. Correspondingly we have two main results. In the first one we prove that if a holomorphic vector bundle E over a compact Kähler manifold (M,ω) admits a ω-balanced metric then this metric is unique. In the second one, after defining the diastatic exponential of a real analytic Kähler manifold, we prove that for every point p of an Hermitian symmetric space of noncompact type there exists a globally defined diastatic exponential centered in p which is a diffeomorphism and it is uniquely determined by its restriction to polydisks.","abstract_has_math":false,"creators":["MOSSA, ROBERTO"],"institution":"Università degli Studi di Cagliari","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-01-13","date_published":"2011-01-13","updated_at":"2026-07-24T01:30:01Z","subjects":["Bergman operator","Jordan triple systems","Kähler metrics","balanced basis","balanced metric","bounded symmetric domains","holomorphic maps into grassmannians","moment maps","symplectic duality","Settore MAT/03 - Geometria"],"languages":["eng"],"rights":["info:eu-repo/semantics/openAccess","license:Non specificato"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11584/266274","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["MOSSA, ROBERTO"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-01-13"]},{"key":"dc:publisher","label":"Institution","values":["Università degli Studi di Cagliari"]},{"key":"dc:relation","label":"Dc Relation","values":["numberofpages:53"]},{"key":"dc:type","label":"Dc Type","values":["info:eu-repo/semantics/doctoralThesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Bergman operator","Jordan triple systems","Kähler metrics","balanced basis","balanced metric","bounded symmetric domains","holomorphic maps into grassmannians","moment maps","symplectic duality","Settore MAT/03 - Geometria"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["info:eu-repo/semantics/openAccess","license:Non specificato"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/11584/266274"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis deals with two different subjects: balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space. Correspondingly we have two main results. In the first one we prove that if a holomorphic vector bundle E over a compact Kähler manifold (M,ω) admits a ω-balanced metric then this metric is unique. In the second one, after defining the diastatic exponential of a real analytic Kähler manifold, we prove that for every point p of an Hermitian symmetric space of noncompact type there exists a globally defined diastatic exponential centered in p which is a diffeomorphism and it is uniquely determined by its restriction to polydisks."]},{"key":"dc:title","label":"Title","values":["Balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space"]}]}],"canonical_facts":{"dc:creator":["MOSSA, ROBERTO"],"dc:date":["2011-01-13"],"dc:description":["This thesis deals with two different subjects: balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space. Correspondingly we have two main results. In the first one we prove that if a holomorphic vector bundle E over a compact Kähler manifold (M,ω) admits a ω-balanced metric then this metric is unique. In the second one, after defining the diastatic exponential of a real analytic Kähler manifold, we prove that for every point p of an Hermitian symmetric space of noncompact type there exists a globally defined diastatic exponential centered in p which is a diffeomorphism and it is uniquely determined by its restriction to polydisks."],"dc:identifier":["http://hdl.handle.net/11584/266274"],"dc:language":["eng"],"dc:publisher":["Università degli Studi di Cagliari"],"dc:relation":["numberofpages:53"],"dc:rights":["info:eu-repo/semantics/openAccess","license:Non specificato"],"dc:subject":["Bergman operator","Jordan triple systems","Kähler metrics","balanced basis","balanced metric","bounded symmetric domains","holomorphic maps into grassmannians","moment maps","symplectic duality","Settore MAT/03 - Geometria"],"dc:title":["Balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space"],"dc:type":["info:eu-repo/semantics/doctoralThesis"]},"updated_at":"2026-07-24T01:30:01Z"}