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GAUSS AND CODAZZI-MAINARDI FORMULAE

Year 2007, Issue: 013, 25 - 30, 15.06.2007

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.

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.

GAUSS AND CODAZZI-MAINARDI FORMULAE

Year 2007, Issue: 013, 25 - 30, 15.06.2007

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.

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.
There are 5 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Nejat Ekmekci This is me

Yılmaz Tuncer This is me

Publication Date June 15, 2007
Published in Issue Year 2007 Issue: 013

Cite

APA Ekmekci, N., & Tuncer, Y. (2007). GAUSS AND CODAZZI-MAINARDI FORMULAE. Journal of Science and Technology of Dumlupınar University(013), 25-30.

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