Space-Time Curvature Mode Quanta

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

Constant Scalar Curvature Hypersurfaces in the Extended Schwarzschild Space-time

In this paper we study the spherically symmetric CSC hypersurfaces of the extended Schwarzschild space-time. Especially, we analyse the embedding equation and we find the family of solutions or slices that results varying a parameter c, for fixed CSC parameter a and fixed time-translation parameter t0. The parameter c represents the amount of variation of volume of the 3-geometry during the ‘ti...

RICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM

Involving the Ricci curvature and the squared mean curvature, we obtain basic inequalities for different kind of submaniforlds of a Sasakian space form tangent to the structure vector field of the ambient manifold. Contrary to already known results, we find a different necessary and sufficient condition for the equality for Ricci curvature of C-totally real submanifolds of a Sasakian space form...

Calculations on space-time curvature within the Earth and Sun

One aspect of the relativistic space-time curvature due to the presence of mass is the breakdown of Euclidean (fiat-space) geometry. For example, the diameter of a spherical mass is greater than the result obtained by dividing the circumference by π. The objective of this article is to determine the amount of discrepancy between ”relativistic” and” non-relativistic” diameters for objects such a...

Empirical mode decomposition in 2-D space and time

Empirical Mode Decomposition in 2-D space and time: a tool for space-time rainfall analysis and nowcasting S. Sinclair and G. G. S. Pegram Civil Engineering, University of KwaZulu-Natal, Durban, South Africa Received: 23 December 2004 – Accepted: 9 February 2005 – Published: 10 February 2005 Correspondence to: S. Sinclair ([email protected]) © 2005 Author(s). This work is licensed under a Cr...