Invariant metrics and complex geodesics in several complex variables -

dc.contributor.authorMrad, Preskella Mounir
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences
dc.contributor.institutionAmerican University of Beirut
dc.date2015
dc.date.accessioned2017-08-30T14:15:45Z
dc.date.available2017-08-30T14:15:45Z
dc.date.issued2015
dc.date.submitted2015
dc.descriptionThesis. M.S. American University of Beirut. Department of Mathematics, 2015. T:6365
dc.descriptionAdvisor : Dr. Florian Bertrand, Assistant Professor, Mathemtics ; Members of Committee : Dr. Faruk Abi-Khuzam, Professor, Mathematics ; Dr. Giuseppe Della Sala, Assistant Professor, Mathematics.
dc.descriptionIncludes bibliographical references (leaves 25-26)
dc.description.abstractBiholomorhically invariant metrics are important tools in Several Complex Variables which generalize Hermitian metrics and are particularly adapted for the study of holomorphic maps and function spaces. The Carath́eodory metric and the Kobayashi metric are instances of such metrics. The main goal of this thesis is to study the elementary properties of geodesics related to these two metrics.
dc.format.extent1 online resource (vi, 26 leaves)
dc.identifier.otherb18451627
dc.identifier.urihttp://hdl.handle.net/10938/10926
dc.language.isoen
dc.relation.ispartofTheses, Dissertations, and Projects
dc.subject.classificationT:006365
dc.subject.lcshInvariant measures.
dc.subject.lcshHolomorphic functions.
dc.subject.lcshHolomorphic mappings.
dc.subject.lcshGeodesics (Mathematics)
dc.subject.lcshFunctions of several complex variables.
dc.subject.lcshCaratheodory measure.
dc.titleInvariant metrics and complex geodesics in several complex variables -
dc.typeThesis

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