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010   $a3-319-04804-X
024 7 $a10.1007/978-3-319-04804-8
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035   $a(DE-He213)978-3-319-04804-8
035   $a(PPN)178319023
035   $a(EXLCZ)992560000000148747
100   $a20140403d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aSub-Riemannian Geometry and Optimal Transport /$fby Ludovic Rifford
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (146 p.)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
300   $aDescription based upon print version of record.
311   $a3-319-04803-1 
320   $aIncludes bibliographical references and index.
327   $a1 Sub-Riemannian structures -- 2 Sub-Riemannian geodesics -- 3 Introduction to optimal transport.- Appendix A Ordinary differential equations.- Appendix B Elements of differential calculus -- References.
330   $aThe book provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields. The text is completely self-contained: the linear discussion, containing all the proofs of the stated results, leads the reader step by step from the notion of distribution at the very beginning to the existence of optimal transport maps for Lipschitz sub-Riemannian structure. The combination of geometry presented from an analytic point of view and of optimal transport, makes the book interesting for a very large community. This set of notes grew from a series of lectures given by the author during a CIMPA school in Beirut, Lebanon.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aGeometry, Differential
606   $aMathematical optimization
606   $aMeasure theory
606   $aSystem theory
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008
606   $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aGeometry, Differential.
615  0$aMathematical optimization.
615  0$aMeasure theory.
615  0$aSystem theory.
615 14$aAnalysis.
615 24$aDifferential Geometry.
615 24$aOptimization.
615 24$aMeasure and Integration.
615 24$aSystems Theory, Control.
676   $a516.0071
700   $aRifford$b Ludovic$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721630
712 02$aBCAM (Centre)
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299961403321
996   $aSub-Riemannian geometry and optimal transport$91410242
997   $aUNINA