Scale Factor
For a diagonal
Metric Tensor
, where
is the
Kronecker Delta
, the scale factor is defined by
(1)
The
Line Element
(first
Fundamental Form
) is then given by
(2)
(3)
The scale factor appears in vector derivatives of coordinates in
Curvilinear Coordinates
.
See also
Curvilinear Coordinates
,
Fundamental Forms
,
Line Element
© 1996-9
Eric W. Weisstein
1999-05-26