EXTENSIONS OF CONSTANT CURVATURE

Yıl 2016, Cilt: 6 Sayı: 1, 95 - 101, 01.06.2016

H. G. Nagaraja D. Harish

Öz

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

Anahtar Kelimeler

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

Kaynakça

• 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.