Ph.D. Tezi Görüntüleme

Student: Filiz OCAK
Supervisor: Prof. Dr. Ömer PEKŞEN
Department: Matematik
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University Turkey
Title of the Thesis: On Some Natural Metrics in The Cotangent Bundle
Level: Ph.D.
Acceptance Date: 25/4/2014
Number of Pages: 70
Registration Number: Di1016
Summary:

      In this thesis, the differential geometry of Sasakian and Cheeger-Gromoll metric which are in the class of natural metric on the cotangent bundle are studied. Levi-Civita connection and curvature problems of Sasakian metric and Cheeger-Gromoll metric are investigated with respect to the adapted frame. Also, para-Nordenian properties of the Sasakian metric on the cotangent bundle are presented. Finally, geodesics of Cheeger-Gromoll metric on the cotangent bundle are investigated .

      

Key Words: Sasakian metric, Cheeger-Gromoll metric, Cotangent bundle, Para-Nordenian metric, Geodesics