Locally Orthonormal Frame
At each point we will also store a matrix 
such that
that will map to a locally orthonormal basis. The hodge
star operator will be implemented in that basis as
Coordinate bases for vectors and forms
Non-coordinate orthonormal bases for vectors and forms
Transformations to orthornormal basis
where 
and 
are
transposed inverses of each other
The above property is required because the pairing of one forms with vector fields remains invariant
Relationship to the metric
Transforming one-forms
Transforming two-forms
