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Title Περί της Γεωμετρίας του Χώρου των Quasi-Fuchsian Παραμορφώσεων Μιας Υπερβολικής Επιφάνειας
Alternative Title On the Geometry of Quasi-Fuchsian Space of a Hyperbolic Surface
Author Πλατής, Ιωάννης
Abstract We study the geometry of space of Quasifuchsian deformities QF(S) of a surface S. This thesis is divided in two parts. In the first part we study the complex symplectic geometry of QF(S).By using earlier results of C. Kourouniotis we prove that a complex symplectic form is defined everwhere in QF(S) and that is expressed at each points of the hyperbolic geometry of the underlying 3-manifild. In the second we study the Hyperkuhler structure of QF(S) as this arises from the Weil-Peterson inner product and a new complex operator which which is introduced for QF(S). Finally we prove the relation between the HYperkuhler structure and Ω.
Language Greek
Subject Complex symplectic geometry
Hyperkuhler geometry
Hyperkuhler Γεωμετρία
Quasifuchsian space
Quasifuchsion χώρος
Μιγαδική συμπλεκτική Γεωμετρία
Issue date 2000-02-03
Collection   School/Department--School of Sciences and Engineering--Department of Mathematics--Doctoral theses
  Type of Work--Doctoral theses
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