GAUSS AND CODAZZI-MAINARDI FORMULAE

Yıl 2007, Sayı: 013, 25 - 30, 15.06.2007

Nejat Ekmekci Yılmaz Tuncer

Öz

In this paper we have defined e, sign functions using the vector fields XII' Xv' nil and nv which have taken derivatives with (u,v) parameters of tangent vector X of any surface in Lorentz space and we obtain Gauss and Codazzi-Mainardi Gauss formulae of the surface.

Anahtar Kelimeler

yok

Kaynakça

• [1] B. O'Neill, Semi Riemannian Geometry With Applications To Relativity, Academic Press. Newyork, 1983.
• [2] R.S. Millman, G.D. Parker, Elements of Differential Geometry, Prentice Hall, Englewood Cliffs, New Jersey, 1987.
• [3] R.W. Sharpe, Differential Geometry, Graduate Text in Mathematics 166,Canada,1997.
• [4] John M. Lee, Riemannian Manifolds, An "Introduction To Curvature, Graduate Text in Mathematics 176, USA,1997.
• [5] K. Nomizu and Kentaro Yano, On Circles and Spheres in Riemannian Geometry, Math.Ann. , 210, 1974.