Morse 2-jet space and h-principle

Alain Chenciner (1) , François Laudenbach (2)

1 IMCCE - Institut de Mécanique Céleste et de Calcul des Ephémérides
2 LMJL - Laboratoire de Mathématiques Jean Leray

A section in the 2-jet space of Morse functions is not always homotopic to a holonomic section. We give a necessary condition for being the case and we discuss the sufficiency.

Mots clés: Morse singularity; 2-jet; h-principle

Domaines: Topologie géométrique [math.GT]

Alain Chenciner, François Laudenbach. Morse 2-jet space and h-principle. Bulletin Brazilian Mathematical Society, 2009, 40 (4), pp.455-463. ⟨hal-00363505⟩