View source for Talk:Geodesics and generalized geodesics

==Geodesics in general metric spaces==
* Consider either defining L(w), for a general metric space, or linking to a page with the definition.
* ``it is natural to think of Riemannian structure. It can be FORMALLY defined.``
* Remove the ``for p>1``. The fact that geodesics are absolutely continuous curves is true for all p.
* If you would like to include the p in the equation \int_0^1 |c'(t)|^p... you should introduce the W_p metric first.

==Statement of Theorem==
* Consider changing the name of this section to ``dynamic formulation of Wasserstein distance''.
* Remove the requirement p>1; W_1 is also a geodesic space
*  Also, there is a small type-o in the continuity equation: it should be the divergence operator \nabla \cdot, instead of the gradient operator \nabla.