Lorentz-Minkowski Düzleminde R-Ortogonalliği Üzerine

Yıl 2019, Cilt: 19 Sayı: 2, 343 - 347, 17.09.2019

Nilgün Sönmez , Abdülaziz Açıkgöz

Öz

Bu
makalede Lorentz-Minkowski düzleminde norm kullanılarak Robert ortogonalliğinin
(R-Ortogonalliği) temel özellikleri incelenmiştir. 

Anahtar Kelimeler

Lorentz- Minkowski düzlemi, Lorentz norm, Ortogonal vektör, R-Ortogonallik

On R- Orthogonality in Lorentz-Minkowski Plane

Öz

Lorent-Minkowski
plane is a Pseudo-Euclidean plane. Studying on the inner product topics is
interesting because inner product in this plane is differentt than inner
product of Euclidean plane. Orthogonality is one of these topics. There are
variety of studies on orthogonality and also there are many orthogonality defined
in normed space such as Roberts orthogonality, Birkhoff orthogonality and Isosceles
orthogonality. Simplification, homogeneity, symmetry and additivity are basic properties
of these orthogonalities. In this paper, these properties belong to Roberts orthogonality
in Lorentz-Minkowski plane are investigated.

Anahtar Kelimeler

Lorentz- Minkowski plane, Lorentz norm, Orthogonal vector, R-Orthogonality

Kaynakça

• Referans 1 Alonso, J., Martini, H., Wu, S. (2012). On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces. Aequationes Mathematicae 83: 153-189.Referans 2 Alonso, J., Benitez, C. (1988). Orthogonality in normed linear spaces: A survey. Part I: Main Properties, Extracta Math. 3 (1): 1-15.Referans 3 Diminnie, C. R. (1983). A new orthogonality relation for normed linear spaces. Mathematische Nachrichten, 114 (1): 197-203.Referans 4 James, R. C. (1945). Orthogonality in normed linear spaces. Duke Mathematical journal, 12 (2): 291-302.Referans 5 Tozak, H. (2010) Minkowski 4-uzayında eğriler ve hareketlerin geometrisi. Yüksek Lisans Tezi, Pamukkale Üniversitesi Fen Bilimleri Enstitüsü, Denizli.