Consider a space constrained by a matrix of functions [M] and containing a
physical system represented by a vector array of pforms omega>. The Matrix
acting as a linear map on omega> produces a vector array sigma>. The
restricted domain on which the determinant of the matrix is nonzero enables the
matrix to be used as a basis Frame for vectors on the space. The existence of
an Inverse Frame permits the definition of a linear connection, such that the
exterior derivative of any matrix column is a linear combination of the matrix
columns.
A second exterior derivative of the Frame will generate the curvature properties
of the restricted domain. In effect, the matrix of functions [M] makes a
statement about the geometric properties of the restricted space, and in a
manner that does not depend upon omega>.
The map is written symbollically as
[M]omega>=sigma>
The Connection [C] is defined as
d[M]=[M][C]
Exterior differentiation of the map gives d(map)
d(map)
A second exterior differentiation yields
dd(map)
The term [Theta]omega> represents a Curvature effect.
IF all functions are C2, the double exterior derviative terms vanish.
IT would appear that gravitational effects (due to curvature  [Theta]omega>)
can be balanced out by Coriolis 2[C]d(omega)>
See the notes in the download below.
