Vanishing asymptotic Maslov index for conformally symplectic flows

Autor:	Arnaud, Marie-Claude, Florio, Anna, Roos, Valentine
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	Motivated by Mather theory of minimizing measures for symplectic twist dynamics, we study conformally symplectic flows on a cotangent bundle. These dynamics are the most general dynamics for which it makes sense to look at (asymptotic) dynamical Maslov index. Our main result is the existence of invariant measures with vanishing index without any convexity hypothesis, in the general framework of conformally symplectic flows. A degenerate twist-condition hypothesis implies the existence of ergodic invariant measures with zero dynamical Maslov index and thus the existence of points with zero dynamical Maslov index. Comment: 43 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.02155 Zobrazit plný text záznamu View this record from Arxiv