Pseudo-Riemannian geometry calibrates optimal transportation

Details Pseudo-Riemannian geometry calibrates optimal transportation Pseudo-Riemannian geometry calibrates optimal transportation

2009-07-28

arxiv.org/abs/0907.4962v3

Mathematics

Differential Geometry

14 Pages. More thorough proofs and different exposition from the last version. The name is slightly changed.

Scientific paper

Given a transportation cost $c: M \times\bar M \to\mathbf{R}$, optimal maps
minimize the total cost of moving masses from $M$ to $\bar M$. We find a
pseudo-metric and a calibration form on $M\times\bar M$ such that the graph of
an optimal map is a calibrated maximal submanifold. We define the mass of
space-like currents in spaces with indefinite metrics.

Affiliated with

Also associated with

No associations

Rating

Pseudo-Riemannian geometry calibrates optimal transportation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pseudo-Riemannian geometry calibrates optimal transportation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pseudo-Riemannian geometry calibrates optimal transportation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-682433