6533b7d7fe1ef96bd1267d95

RESEARCH PRODUCT

Existence of optimal transport maps in very strict CD(K,∞) -spaces

Timo Schultz

subject

metric measure spacesdifferentiaaligeometriaRicci curvatureoptimal mass transportationvariaatiolaskentaexistence of optimal mapsmittateoriametriset avaruudetbranching geodesics

description

We introduce a more restrictive version of the strict CD(K,∞) -condition, the so-called very strict CD(K,∞) -condition, and show the existence of optimal maps in very strict CD(K,∞) -spaces despite the possible lack of uniqueness of optimal plans. peerReviewed

yearjournalcountryeditionlanguage
2018-01-01
http://urn.fi/URN:NBN:fi:jyu-201905162640