Dejenere manifoldlarda düzlemsel normal kesitler üzerine
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Dosyalar
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
İnönü Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
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.
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.
Açıklama
Anahtar Kelimeler
Lightlike altmanifold, Half-Lightlike altmanifold, Dejenere normal kesit, Non-dejenere d uzlemsel normal kesit, Dejenere d uzlemsel normal kesitler, Non-dejenere d uzlemsel normal kesitler, Lightlike submanifold, Half-lightlike submanifold, Degenerate normal section, Non-degenerate normal section, Degenerate planar normal section, Non-degenerate planar normal section
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Erdoğan, F. E. (2012). Dejenere manifoldlarda düzlemsel normal kesitler üzerine. İnönü Üniversitesi Fen Bilimleri Enstitüsü. 1-97 ss.
