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

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68 Pages
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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.

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Published 01 January 2009
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Deforming Lagrangian submanifolds by functions of their angle
¨ VonderFakultatf¨urMathematikundPhysik
der Gottfried Wilhelm Leibniz Universitat Hannover ¨
zur Erlangung des Grades
Docktor der Naturwissenschaften
Dr. rer. nat.
genehmigte Dissertation
von
Diplome d’Etudes Approfondies (D.E.A.) Wassih Gilbert Laval Roger Ad´mola MARCOS geboren am 04.02.1980 in Porto Novo, Benin e
1
2
Referent: Prof Dr. Knut Smoczyk
Korreferent: PD Dr.
Tag
der
Promotion:
Lutz Habermann
26.
Oktober
2009
Wassih Marcos
Die Deformation von Lagrange Untermannigfaltigkeiten entlang ihres Lagrange-Winkels
November 9, 2009
LeibnizUniversita¨tHannover
To
my
Rachidath
and
late
mother
Bello Thiamiyou
my
Ganiyou
father
Marcos.
Acknowledgment.This research project would not have been possible with-out the support of many people. I wish to express my gratitude to my supervi-sor, Prof. Dr. Knut Smoczyk, who was abundantly helpful and offered invalu-able assistance, support and guidance. Special thanks also to all my friends and colleagues, especially to the members of theitutIsnaltienerirD¨utf-eg ometrie; Dr. Matthias Bergner, Mykhaylo Chursin, PD Dr. Lutz Habermann, Dr.LarsSch¨aferandMarenStrootforsharingtheliteratureandinvaluable assistance. I would also like to convey thanks to Ms. Melanie Schunert for invaluable assistance with administartive matters and the Faculty for pro-viding the financial means and facilities. I thank also the IMSP (Institut de Math´ematiqueetdeSciencesPhysiques)inBeninandDr.Le´onardTodji-hounde for his advice and his support for the good evolution of my thesis. ´