Paracontact manifolds


Thesis Type: Postgraduate

Institution Of The Thesis: Uludağ Üniversitesi, Turkey

Approval Date: 2010

Thesis Language: Turkish

Student: İREM KÜPELİ ERKEN

Supervisor: CENGİZHAN MURATHAN

Abstract:

This study which is designed as master science thesis covers four chapters. The first chapter is devoted to the introduction. Second chapter contains some well-known definitions and results which will be used in other chapters. In the third chapter, the features of almost paracontact manifolds and almost paracontact metric manifolds were examined. The torsion tensor field of almost paracontact manifold was defined and on manifold the normal structure was constructed. Also a Kparacontact manifold was defined and some properties were given to be a K-paracontact manifold. Also para-Sasakian manifold was introduced and was given the properties. In this chapter paracontact manifolds curvature properties were also studied. Chapter IV contains the original work. After by giving the basic lemmas about normal almost paracontact metric manifolds, Ricci curvature tensor was calculated. On a compact M manifold, the classification was given according the conditions of constant curvature K .