Convexity of injectivity domains on the ellipsoid of revolution: The oblate case

Bernard Bonnard (1, 2) , Jean-Baptiste Caillau (1, 2) , Ludovic Rifford (3, 1)

1 McTAO - Mathematics for Control, Transport and Applications
2 IMB - Institut de Mathématiques de Bourgogne [Dijon]
3 LJAD - Laboratoire Jean Alexandre Dieudonné

We characterize the convexity properties of the tangent injectivity domain on an the ellipsoid of revolution in the oblate case.

Domaines: Mathématiques [math]; Optimisation et contrôle [math.OC]

Bernard Bonnard, Jean-Baptiste Caillau, Ludovic Rifford. Convexity of injectivity domains on the ellipsoid of revolution: The oblate case. Comptes Rendus. Mathématique, 2010, 348 (23-24), pp.1315-1318. ⟨10.1016/j.crma.2010.10.036⟩. ⟨hal-01336325⟩