M.S. Theses: Recent submissions

  • Proof of the weinstein conjecture for overtwisted closed contact 3-manifolds 
    Sağlam, Murat. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    In this thesis, we study the proof of the Weinstein conjecture for 3-dimensional closed manifolds equipped with an overtwisted contact structure. The method of filling by pseudoholomorphic disks and the bubbling-off analysis ...
  • Some cases of generalized fermat equation 
    Erdoğan, Altan. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2008., 2008.)
    This thesis presents a classification of some cases of generalized Fermat equation and applications of elementary methods to these equations in order to find integer solutions to these equations. Applications of some more ...
  • Classification of nonsymmetric Riemannian manifolds using holonomy groups 
    Ferlendez, Bora. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2008., 2008.)
    In this thesis, Simons’ proof of Berger’s classification of nonsymmetric irreducible Riemannian manifolds with respect to their holonomy groups is studied and Berger’s classification is discussed. The main tools will be ...
  • On the geometric objects of same type as christoffel symbols of Ehresmann Ë-connections 
    Abadoğlu, Ender. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1995., 1995.)
    In this thesis the higher order Ehresmann a-connections are studied as geometric objects. We prove that, any two Lie subgroups of the rth order jet group G~ which are isomorphic to G~ are conjugate. It follows from this ...

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