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Additional
Metric tensor
English Wikipedia - The Free Encyclopedia
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Metric tensor
In the
mathematical
field of
differential geometry
, a
metric tensor
is a type of function which takes as input a pair of
tangent vectors
v
and
w
at a point of a surface (or higher dimensional
differentiable manifold
) and produces a
real number
scalar
in a way that generalizes many of the familiar properties of the
dot product
of
vectors
in
Euclidean space
. In the same way as a dot product, metric tensors are used to define the length of and angle between tangent vectors.
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