OAI/Geometry/RCD/Transport/OptimalInitialLength.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Common initial length of two optimal plans
Only the reference optimizer needs bounded compression. A potential for the average coupling bounds the speed on both optimizers. The Sobolev speed identity and equality of costs make both bounds equalities.
- theorem
OAI.RegularPointCoordinates.NoncollapsedRCD.common_optimal_initial_lengthline 20