{"id":{"repo_id":"ankara","oai_identifier":"oai:dspace.ankara.edu.tr:20.500.12575/79424"},"canonical_url":"https://search.dev.ndltd.org/etd/ankara/oai:dspace.ankara.edu.tr:20.500.12575/79424","repository":{"repo_id":"ankara","name":"University of Ankara","base_url":"https://dspace.ankara.edu.tr/server/oai/request"},"display":{"title":"Lorentz uzayında harmonik eğrilikler ve eğitim çizgilerinin karakterizasyonları","abstract":"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","abstract_html":"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","abstract_has_math":false,"creators":["Yalnız, Ayşe Funda"],"institution":"Fen Bilimleri Enstitüsü","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Matematik","school":null,"contributors":[],"advisors":["Hacısalihoğlu, Hilmi"],"committee_chairs":[],"committee_members":[],"year":2003,"date_issued":"2003","date_published":"2003","updated_at":"2026-08-21T16:41:48Z","subjects":["Matematik"],"languages":["tr"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/20.500.12575/79424","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"source_record":{"url":"https://dspace.ankara.edu.tr/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Adspace.ankara.edu.tr%3A20.500.12575%2F79424","prefix":"dim"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Hacısalihoğlu, Hilmi"]},{"key":"dc:contributor.department","label":"Department","values":["Matematik"]},{"key":"dc:creator","label":"Author","values":["Yalnız, Ayşe Funda"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2022-04-22T08:48:26Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2022-04-22T08:48:26Z"]},{"key":"dc:date.issued","label":"Date","values":["2003"]},{"key":"dc:publisher","label":"Institution","values":["Fen Bilimleri Enstitüsü"]},{"key":"dc:type","label":"Dc Type","values":["doctoralThesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Matematik"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["tr"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/20.500.12575/79424"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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"]},{"key":"dc:title","label":"Title","values":["Lorentz uzayında harmonik eğrilikler ve eğitim çizgilerinin karakterizasyonları"]}]}],"canonical_facts":{"dc:contributor.advisor":["Hacısalihoğlu, Hilmi"],"dc:contributor.department":["Matematik"],"dc:creator":["Yalnız, Ayşe Funda"],"dc:date.accessioned":["2022-04-22T08:48:26Z"],"dc:date.available":["2022-04-22T08:48:26Z"],"dc:date.issued":["2003"],"dc:description.abstract":["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"],"dc:identifier.uri":["http://hdl.handle.net/20.500.12575/79424"],"dc:language.iso":["tr"],"dc:publisher":["Fen Bilimleri Enstitüsü"],"dc:subject":["Matematik"],"dc:title":["Lorentz uzayında harmonik eğrilikler ve eğitim çizgilerinin karakterizasyonları"],"dc:type":["doctoralThesis"]},"updated_at":"2026-08-21T16:41:48Z"}