@article{AFST_2006_6_15_4_613_0, author = {Dario Cordero-Erausquin and Robert J. McCann and Michael Schmuckenschl\"ager}, title = {Pr\'ekopa{\textendash}Leindler type inequalities on {Riemannian} manifolds, {Jacobi} fields, and optimal transport}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {613--635}, publisher = {Universit\'e Paul Sabatier, Toulouse}, volume = {Ser. 6, 15}, number = {4}, year = {2006}, doi = {10.5802/afst.1132}, zbl = {1125.58007}, mrnumber = {2295207}, language = {en}, url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1132/} }