EXTENSIONS OF CONSTANT CURVATURE

ISSN: 2146-1147
Başlangıç: 2010
Yayıncı: Turkic World Mathematical Society

In this paper, we discuss some examples of two dimensional spaces of constant curvature and their Riemannian extensions.

Keywords:

Riemannian curvature, Riemann extension, flat metric geodesic equations, constant positive curature.,

Z. Afifi, Riemann extension of affine connected spaces., Quart. J. Math. Oxford (2), 5 (1954),pp.312-30.
E. M. Paterson and A.G. Walker., Riemann extensions., Quart,J. Math. Oxford, 3(1952), pp.19-28.
V. S. Dyruma., Toward a theory of spaces of constant curvature, Theor. Math. Phys., 146, (2006), pp.42-54.
V. S. Dryuma. Mat.Issled.,124(1992), pp.56-68.
V. S. Dryuma On Geodesical Extension of the Schwarzschild Space time. Proceedings of Institute of Mathematics of NAS of Ukraine, 50(3),(2004), pp.1294-1300.
V. S. Dryuma On Riemann extension of the Schwarzschild metric. Buletinul Academiei De Stiinte A Republich Moldova, Mathematica, 3(43), (2003), pp.92-103.
R. Jackiw, A pure cotton kink in a funny place math-ph/0403044(2004).
A.M. Naveira, The Riemann Curvature through History RACSAM, Rev. R. Acad. Cien. Serie A. Mat., 99(2), (2005), pp. 195-210.

Sayıdaki Diğer Makaleler