Lorentz uzayında ve Lorentz düzleminde temel kavramlar

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Arş. Gör. Sevilay Çoruh Şenocak

Tez Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Yıldız Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Matematik, Türkiye

Tez Danışmanı: Salim Yüce

Tezin Onay Tarihi: 2020

Tezin Dili: Türkçe

Desteklendiği Program: Diğer

Özet:

This study includes 4 chapters. The information in the first part constitutes the introduction part of the thesis, and this section includes the literature summary along with the purpose part and the findings. In the second chapter; The scalar product space that will form the basis of the Lorentz space and its properties are investigated. In the third chapter, the vector classification for Minkowski space and the orthogonality conditions that occur depending on the vector diversity in Minkowski space are examined. The orthogonality in R _2 ^ 3 Minkowski space and the Gram-Schmidt Method in this space contain the original parts of this thesis. In the fourth chapter, f ^ 2 - g ^ 2 = 1 on the Minkowski plane, f and g functions are defined to be connected to the 𝜃: (a, b)→R function, and the basic properties of the planes are investigated with the help of the angle function 𝜃. In addition, Frenet formulas are given for curves in the Minkowski plane.