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GAUSS AND CODAZZI-MAINARDI FORMULAE
Abstract
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.
Keywords
References
- [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.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
June 15, 2007
Submission Date
March 15, 2007
Acceptance Date
May 15, 2007
Published in Issue
Year 2007 Number: 013
APA
Ekmekci, N., & Tuncer, Y. (2007). GAUSS AND CODAZZI-MAINARDI FORMULAE. Journal of Science and Technology of Dumlupınar University, 013, 25-30. https://izlik.org/JA33BK44NP
AMA
1.Ekmekci N, Tuncer Y. GAUSS AND CODAZZI-MAINARDI FORMULAE. DPÜFBED. 2007;(013):25-30. https://izlik.org/JA33BK44NP
Chicago
Ekmekci, Nejat, and Yılmaz Tuncer. 2007. “GAUSS AND CODAZZI-MAINARDI FORMULAE”. Journal of Science and Technology of Dumlupınar University, nos. 013: 25-30. https://izlik.org/JA33BK44NP.
EndNote
Ekmekci N, Tuncer Y (June 1, 2007) GAUSS AND CODAZZI-MAINARDI FORMULAE. Journal of Science and Technology of Dumlupınar University 013 25–30.
IEEE
[1]N. Ekmekci and Y. Tuncer, “GAUSS AND CODAZZI-MAINARDI FORMULAE”, DPÜFBED, no. 013, pp. 25–30, June 2007, [Online]. Available: https://izlik.org/JA33BK44NP
ISNAD
Ekmekci, Nejat - Tuncer, Yılmaz. “GAUSS AND CODAZZI-MAINARDI FORMULAE”. Journal of Science and Technology of Dumlupınar University. 013 (June 1, 2007): 25-30. https://izlik.org/JA33BK44NP.
JAMA
1.Ekmekci N, Tuncer Y. GAUSS AND CODAZZI-MAINARDI FORMULAE. DPÜFBED. 2007;:25–30.
MLA
Ekmekci, Nejat, and Yılmaz Tuncer. “GAUSS AND CODAZZI-MAINARDI FORMULAE”. Journal of Science and Technology of Dumlupınar University, no. 013, June 2007, pp. 25-30, https://izlik.org/JA33BK44NP.
Vancouver
1.Nejat Ekmekci, Yılmaz Tuncer. GAUSS AND CODAZZI-MAINARDI FORMULAE. DPÜFBED [Internet]. 2007 Jun. 1;(013):25-30. Available from: https://izlik.org/JA33BK44NP