Araştırma Makalesi
Yıl 2007,
Sayı: 013, 25 - 30, 15.06.2007
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
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.
Yıl 2007,
Sayı: 013, 25 - 30, 15.06.2007
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
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.
Toplam 5 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Mühendislik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 15 Haziran 2007 |
| IZ | https://izlik.org/JA33BK44NP |
| Yayımlandığı Sayı | Yıl 2007 Sayı: 013 |