In view of the significance of the array manifold in array processing
and array communications, the role of differential geometry as an
analytical tool cannot be overemphasized. Differential geometry is
mainly confined to the investigation of the geometric properties of
manifolds in three-dimensional Euclidean space R3 and in
real spaces of higher dimension.
Extending the theoretical framework to complex spaces, this invaluable
book presents a summary of those results of differential geometry
which are of practical interest in the study of linear, planar and
three-dimensional array geometries.