RIEMANN EXTENSION OF THE ANTI-MACH SPACE TIME
M. ABDEL-MEGIED
Mathematics Department, Faculty of Science, Minia University, Egypt.
NASSAR H. ABDEL-ALL
Mathematics Department, Faculty of Science, Assiut University, Egypt.
E. A. HEGAZY *
Mathematics Department, Faculty of Science, Minia University, Egypt.
*Author to whom correspondence should be addressed.
Abstract
Riemann extension for the anti - Mach metric is derived, the solution of geodesic equations for the extended space are given, some properties for the extended space was studied and compared with the basic space and the constructions of a translation surface for the anti - Mach metric in four dimension is established.
Keywords: Riemann extension, geodesic equations, translation surfaces