03702nam 22007935 450 991029996140332120200630232910.03-319-04804-X10.1007/978-3-319-04804-8(CKB)2560000000148747(EBL)1698451(SSID)ssj0001205081(PQKBManifestationID)11698816(PQKBTitleCode)TC0001205081(PQKBWorkID)11191944(PQKB)10101087(MiAaPQ)EBC1698451(DE-He213)978-3-319-04804-8(PPN)178319023(EXLCZ)99256000000014874720140403d2014 u| 0engur|n|---|||||txtccrSub-Riemannian Geometry and Optimal Transport /by Ludovic Rifford1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (146 p.)SpringerBriefs in Mathematics,2191-8198Description based upon print version of record.3-319-04803-1 Includes bibliographical references and index.1 Sub-Riemannian structures -- 2 Sub-Riemannian geodesics -- 3 Introduction to optimal transport.- Appendix A Ordinary differential equations.- Appendix B Elements of differential calculus -- References.The book provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields. The text is completely self-contained: the linear discussion, containing all the proofs of the stated results, leads the reader step by step from the notion of distribution at the very beginning to the existence of optimal transport maps for Lipschitz sub-Riemannian structure. The combination of geometry presented from an analytic point of view and of optimal transport, makes the book interesting for a very large community. This set of notes grew from a series of lectures given by the author during a CIMPA school in Beirut, Lebanon.SpringerBriefs in Mathematics,2191-8198Mathematical analysisAnalysis (Mathematics)Geometry, DifferentialMathematical optimizationMeasure theorySystem theoryAnalysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26008Measure and Integrationhttps://scigraph.springernature.com/ontologies/product-market-codes/M12120Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Mathematical analysis.Analysis (Mathematics).Geometry, Differential.Mathematical optimization.Measure theory.System theory.Analysis.Differential Geometry.Optimization.Measure and Integration.Systems Theory, Control.516.0071Rifford Ludovicauthttp://id.loc.gov/vocabulary/relators/aut721630BCAM (Centre)MiAaPQMiAaPQMiAaPQBOOK9910299961403321Sub-Riemannian geometry and optimal transport1410242UNINA