Ontology type: schema:ScholarlyArticle Open Access: True
2016-10
AUTHORSNicola Gigli, Tapio Rajala, Karl-Theodor Sturm
ABSTRACTWe prove existence and uniqueness of optimal maps on RCD∗(K,N) spaces under the assumption that the starting measure is absolutely continuous. We also discuss how this result naturally leads to the notion of exponentiation and to the local-to-global property of RCD∗(K,N) bounds.
PAGES2914-2929
http://scigraph.springernature.com/pub.10.1007/s12220-015-9654-y
DOIhttp://dx.doi.org/10.1007/s12220-015-9654-y
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