M.Sc Tezi Görüntüleme

Student: Esra Esin SAKA
Supervisor: Asst.Prof. Dr. Ömer PEKSEN
Department: Mathematics
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University, Turkey
Title of the Thesis: CHARACTERISTIC CLASSES ON HOMOGENEOUS SPACES
Level: M.Sc
Acceptance Date: 15/8/1999
Number of Pages: 86
Registration Number: i1061
Summary:

      

In the first chapter, some basic definitions and theorems which is the preliminary to the next one, some definitions and theorems concerning the groups, rings, algebras, Lie groups Lie algebras, exact sequences, manifolds are given.

      In the second chapter, for the construction of characteristic classes on homogeneous spaces, bundles, connection, curvature, homogeneous space, Weil homomorfizm of homogeneous space and cohomology of homogeneous space are examined.

      Then Pontrjagin classes of homogeneous spaces are determined with these terms.

       Keywords: Bundle, Vector Bundle, Curvature, Connection, Cohomology, Characteristic Number, Homogeneous Space, Weil Homomorfism, Characteristic Class.