Deforming Lagrangian submanifolds by functions of their angle [Elektronische Ressource] / von Wassih Gilbert Laval Roger Adémola Marcos

1Deforming Lagrangian submanifolds by functions of their angleVon der Fakult˜at fur˜ Mathematik und Physikder Gottfried Wilhelm Leibniz Universit˜at Hannoverzur Erlangung des GradesDocktor der NaturwissenschaftenDr. rer. nat.genehmigte DissertationvonDiplome d’Etudes Approfondies (D.E.A.) Wassih Gilbert Laval RogerAd¶emola MARCOS geboren am 04.02.1980 in Porto Novo, Benin2Referent: Prof Dr. Knut SmoczykKorreferent: PD Dr. Lutz HabermannTag der Promotion: 26. Oktober 2009Wassih MarcosDie Deformation von LagrangeUntermannigfaltigkeiten entlangihres Lagrange-WinkelsNovember 9, 2009Leibniz Universit˜at HannoverTo my late motherRachidath Bello Thiamiyouand my fatherGaniyou Marcos.Acknowledgment.Thisresearchprojectwouldnothavebeenpossiblewith-outthesupportofmanypeople.Iwishtoexpressmygratitudetomysupervi-sor, Prof. Dr. Knut Smoczyk, who was abundantly helpful and ofiered invalu-able assistance, support and guidance. Special thanks also to all my friendsand colleagues, especially to the members of the Institut fur˜ Difierentialge-ometrie; Dr. Matthias Bergner, Mykhaylo Chursin, PD Dr. Lutz Habermann,Dr. Lars Sch˜afer and Maren Stroot for sharing the literature and invaluableassistance. I would also like to convey thanks to Ms. Melanie Schunert forinvaluable assistance with administartive matters and the Faculty for pro-viding the flnancial means and facilities.