Finsler Metric
A continuous real function 
defined on the Tangent Bundle 
of an 
-D DifferentiableManifold 
is said to be a Finsler metric if
- 1. is Differentiable at
, - 2.
for any element 
and any Real Number 
, - 3. Denoting the Metric
then
is a Positive Definite Matrix.
with a Finsler metric is called a Finsler Space.See also Differentiable Manifold, Finsler Space, Tangent Bundle
References
Iyanaga, S. and Kawada, Y. (Eds.). ``Finsler Spaces.'' §161 in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 540-542, 1980.
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