Riemann submersiyonlarının geometrisi üzerine
Yükleniyor...
Dosyalar
Tarih
2007
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
İnönü Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The first chapter of this thesis is devoted some basic topics, such as, Riemannian manifold, connection, curvatures, vector bundles and distributions. These terms are necessary for the other chapters of this thesis. In the second chapter, after the basic terminology, the fundamental tensor fields for a Riemannian submersion are given and their basic properties are studied. Afterwards geometric meaning of basic tensors are investigated. In the last chapter, firstly the covariant derivative of basic tensors are found and their basic properties are studied. Then the relation between two curvatures of Riemann manifolds are found by using these properties. KEYWORDS: Riemann submersion, basic tensor, covariant derivative, curvature, Ricci tensor, scalar curvature, distribution, vector bundle.
Açıklama
Anahtar Kelimeler
Matematik, Mathematics
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Gündüzalp, Y. (2007). Riemann submersiyonlarının geometrisi üzerine. Yayımlanmış Yüksek lisans Tezi, İnönü Üniversitesi, Malatya.
