We consider geometric properties of 3-jet non-degenerate functions in connection with Nekhoroshev theory. In particular, after showing that 3-jet non-degenerate functions are “almost quasi-convex”, we prove that they are steep and compute explicitly the steepness indices (which do not exceed 2) and the steepness coefficients.
On steepness of 3-jet non degenerate functions
Guzzo Massimiliano
2019
Abstract
We consider geometric properties of 3-jet non-degenerate functions in connection with Nekhoroshev theory. In particular, after showing that 3-jet non-degenerate functions are “almost quasi-convex”, we prove that they are steep and compute explicitly the steepness indices (which do not exceed 2) and the steepness coefficients.
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