J. F. Omonile

Riemannian Velocity and Acceleration Tensors/Vectors in Rotational Oblate Spheroidal Coordinates Based Upon the Great Metric Tensor

J. F. Omonile, P. B. Ojih, M. O. Alhassan & S. X. K. Howusu · Asian Journal of Physical and Chemical Sciences · 2018

Since the time of Galileo (1564 - 1643), Euclidean geometry has been the foundation on which the theoretical formulations of all geometrical quantities in all orthogonal curvilinear coordinates in Physics and Mathematics were built. But with the discovery of the great metric tens...

Open access Research Article 10.9734/AJOPACS/2018/40509

Riemannian Curvature Tensor in the Cartesian Coordinate Using the Golden Metric Tensor

D. J. Koffa, J. F. Omonile, O. O. Ogunleye, L. I. Gani & S. X. K. Howusu · Current Journal of Applied Science and Technology · 2016

The golden metric tensor completes Euclidean geometry. Since geometry is the foundation of theoretical physics, it implies that our discovery of the golden metric paves way for redefining almost everything in theoretical physics. In this paper, we show how to express the Riemanni...

Open access Research Article 10.9734/BJAST/2016/23593

Riemannian Acceleration in Cartesian Coordinate Based Upon the Golden Metric Tensor

D. J. Koffa, J. F. Omonile, O. O. Ogunleye, J. A. Rabba & S. X. K. Howusu · Physical Science International Journal · 2016

Geometric quantities in all orthogonal curvilinear co-ordinates are built upon Euclidean geometry. This geometry is founded on a well known metric tensor called the Euclidean metric tensor. Riemannian geometry which is assumed to be more general than the Euclidean geometry was fo...

Open access Research Article 10.9734/PSIJ/2016/23360