The contravariant components of the wave-propagation metric tensor equal half the second-order partial derivatives of the selected eigenvalue of the Christoffel matrix with respect to the slowness-vector components. The relations of the wave-propagation metric tensor to the curvature matrix and Gaussian curvature of the slowness surface and to the curvature matrix and Gaussian curvature of the ray-velocity surface are demonstrated with the help of ray-centred coordinates.
Ray theory, elastic anisotropy, Finsler space, metric tensor, slowness surface, ray-velocity surface, ray-centred coordinates.
The image of the paper in GIF 150dpi (263 kB) is designed for an instant screen preview.
The reprint is available in PostScript (100 kB) and GZIPped PostScript (38 kB).