Dejenere manifoldlarda düzlemsel normal kesitler üzerine
dc.authorid | TR37919 | en_US |
dc.contributor.author | Erdoğan, Feyza Esra | |
dc.date.accessioned | 2017-02-07T05:58:09Z | |
dc.date.available | 2017-02-07T05:58:09Z | |
dc.date.issued | 2012 | |
dc.department | Enstitüler, Fen Bilimleri Enstitüsü, | en_US |
dc.description.abstract | Bu tez d ort b ol umden meydana gelmistir. Birinci b ol umde diger b ol umlere faydal olacak temel tanm ve kavramlar; vekt or demetleri, distrib usyonlar, Riemann ve semi-Riemann manifoldlar, lightlike altmanifoldlar ve half-lightlike altmanifoldlar ele alnd. _Ikinci b ol umde daha once Riemann ve semi-Riemann manifoldlarn altmanifoldlar n d uzlemsel normal kesitlere sahip olmalar icin gerekli ve yeterli sartlar verildi. Uc unc u b ol umde R3 1 semi-Riemann manifoldunun bir lightlike y uzeyinin dejenere ve non-dejenere d uzlemsel normal kesitlere sahip olmas icin gerekli ve yeterli sartlar elde edildi. Ayrca bir takm karakterizasyonlar ve bir ornek verildi. D ord unc u b ol umde R4 2 semi-Riemann manifoldunun bir half-lightlike altmanifoldunun dejenere ve non-dejenere d uzlemsel normal kesitlere sahip olmas icin gerekli ve yeterli sartlar verildi. Non-dejenere d uzlemsel normal kesitlere sahip half-lightlike altmanifoldlarla ilgili karakterizasyonlar olusturuldu ve ornekler verildi. | en_US |
dc.description.abstract | This thesis consists of ve chapters. In the rst chapter, we give basic materials such as half-lightlike submanifolds, lightlike submanifolds, degenerate subspaces, semi-Riemannian manifolds, Riemannian manifolds, distributions, vector bundles which will be useful for other chapters. In the second chapter , We give necessary and sucient condition for subsmanifold and semi-Riemannian manifolds to have planar normal sections we also give some characterizations. In the third chapter, we give certain conditions for a lightlike submanifold of R3 1 to have degenerate or non-degenerate planar normal sections. Then we give some characterizations and gives examples. Finally, in the fourth chapter, we give necessary and sucient conditions for a half-lightlike submanifold of R4 2 to have degenerate or non-degenerate planar normal sections. We also give some characterizations and gives examples. | en_US |
dc.identifier.citation | Erdoğan, F. E. (2012). Dejenere manifoldlarda düzlemsel normal kesitler üzerine. İnönü Üniversitesi Fen Bilimleri Enstitüsü. 1-97 ss. | en_US |
dc.identifier.endpage | 97 | en_US |
dc.identifier.startpage | 1 | en_US |
dc.identifier.uri | https://hdl.handle.net/11616/6125 | |
dc.language.iso | tr | en_US |
dc.publisher | İnönü Üniversitesi | en_US |
dc.relation.publicationcategory | Tez | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Lightlike altmanifold | en_US |
dc.subject | Half-Lightlike altmanifold | en_US |
dc.subject | Dejenere normal kesit | en_US |
dc.subject | Non-dejenere d uzlemsel normal kesit | en_US |
dc.subject | Dejenere d uzlemsel normal kesitler | en_US |
dc.subject | Non-dejenere d uzlemsel normal kesitler | en_US |
dc.subject | Lightlike submanifold | en_US |
dc.subject | Half-lightlike submanifold | en_US |
dc.subject | Degenerate normal section | en_US |
dc.subject | Non-degenerate normal section | en_US |
dc.subject | Degenerate planar normal section | en_US |
dc.subject | Non-degenerate planar normal section | en_US |
dc.title | Dejenere manifoldlarda düzlemsel normal kesitler üzerine | en_US |
dc.title.alternative | On the planar normal sections in dejenere manifolds | en_US |
dc.type | Doctoral Thesis | en_US |