Morse 2-jet space and h-principle
Alain Chenciner (IMCCE), Fran\c{c}ois Laudenbach (LMJL)
TL;DR
This paper investigates the conditions under which sections in the 2-jet space of Morse functions can be homotoped to holonomic sections, exploring necessary and sufficient criteria.
Contribution
It provides a necessary condition for a section in the 2-jet space of Morse functions to be homotopic to a holonomic section and discusses the sufficiency of this condition.
Findings
Identifies a necessary condition for homotopy to holonomic sections.
Discusses the sufficiency of the identified condition.
Highlights the complexity of homotoping sections in Morse 2-jet spaces.
Abstract
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.
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