On the injectivity and nonfocal domains of the ellipsoid of revolution
| Affiliation auteurs | Affiliation ok |
| Titre | On the injectivity and nonfocal domains of the ellipsoid of revolution |
| Type de publication | Conference Paper |
| Year of Publication | 2014 |
| Auteurs | Caillau J-B, Royer CW |
| Editor | Stefani G, Boscain U, Gauthier JP, Sarychev A, Sigalotti M |
| Conference Name | GEOMETRIC CONTROL THEORY AND SUB-RIEMANNIAN GEOMETRY |
| Publisher | Ist Nazl Alta Matematica F Severi |
| Conference Location | GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND |
| ISBN Number | 978-3-319-02132-4; 978-3-319-02131-7 |
| Résumé | In relation with regularity properties of the transport map in optimal transportation on Riemannian manifolds, convexity of injectivity and nonfocal domains is investigated on the ellipsoid of revolution. Building upon previous results [4, 5], both the oblate and prolate cases are addressed. Preliminary numerical estimates are given in the prolate situation. |
| DOI | 10.1007/978-3-319-02132-4_5 |