Lorentz uzayında harmonik eğrilikler ve eğitim çizgilerinin karakterizasyonları

Thesis HARMONIC CURVATURES IN LORENTZIAN SPACE AND CHARACTERIZATIONS OF INCLINED CURVES A. Punda YALINIZ Ankara University Graduate School of Natural And Applied Sciences Department of Mathematics Supervisor: Prof. Dr. H. Hilmi HACISALİHO?LU This thesis consists of five chapters. The first chapter is devote to the introduction. The second chapter deals with the preliminaries, definitions and necessary theorems that will be needed for later use. In the third chapter, the characterizations of general helix in Lorentzian space are studied for the case of n = 3. In the fourth chapter, the characterizations of inclined curves in hn are obtained for the time-like and the space-like curves. In the last chapter, harmonic curvatures of light-like (null) curves are obtained and the characterizations of inclined curves for the light-like (null) curves are stated. 2004, 134 pages Key Words : Lorentzian space, Harmonic curvatures, Inclined curves, Null vector, Time-like vector, Space-like vector

Department dc:contributor.department

Matematik

Grantor dc:publisher

Fen Bilimleri Enstitüsü

Year dc:date.issued

2003

Author dc:creator

• Yalnız, Ayşe Funda

Advisor dc:contributor.advisor

• Hacısalihoğlu, Hilmi

• Matematik

Language dc:language.iso

tr

Handle dc:identifier.uri

http://hdl.handle.net/20.500.12575/79424

OAI record oai:identifier

https://dspace.ankara.edu.tr/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Adspace.ankara.edu.tr%3A20.500.12575%2F79424