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SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ

Journal: Süleyman Demirel University Faculty of Arts and Science Journal of Science (Vol.2, No. 2)

Publication Date:

Authors : ;

Page : 228-235

Keywords : Semi-Riemann metrik; Double tanjant demet; Levi-Civita koneksiyonu; Lie Parantez operatörü;

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Abstract

Özet: Bu çalışmada, diferensiyellenebilir bir manifold üzerindeki bir semi-Riemann metriğin ikinci mertebeden tam yüseltilmesi ile elde edilen nin bir semi-Riemann metriği olduğu gösterildi ve bu metriğin Levi-Civita koneksiyonu bileşenler cinsinden hesaplandı. Anahtar Kelimeler: Semi-Riemann metrik, Double tanjant demet, Levi-Civita koneksiyonu, Lie Parantez operatörü THE DIFFERENTIAL GEOMETRY OF DOUBLE TANGENT BUNDLE WITH SEMI-RIEMANNIAN METRIC Abstract: In this paper, it is shown that , which is obtained in term of the second order the complete lift of a semi-Riemannian metric on a differentiable manifold, is a semi-Riemannian metric and it is calculated the connection coefficients of the Levi-Civita connection of the this metric. Keywords: Semi-Riemannian metric, The double tangent bundle, Levi-Civita connection, Lie bracket operator Mathematics Subject Clasifications (2000): 53C07, 53C50

Last modified: 2017-08-02 17:55:35