Bumpy metric theorem in the sense of Mañé for non-convex Hamiltonians

Shahriar Aslani; Patrick Bernard

doi:10.3934/jmd.2025020

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2025, Volume 21: 851-874. Doi: 10.3934/jmd.2025020

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Bumpy metric theorem in the sense of Mañé for non-convex Hamiltonians

Shahriar Aslani^1, and
Patrick Bernard^2,

1.
École Normale Supérieure, 45 rue d'Ulm, F-75230 Paris Cedex 05, France. Current Address: Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, People's Republic of China
2.
PSL Research University, Université Paris Dauphine, CEREMADE, Place du Maréchal de Lattre de Tassigny, F-75775 Paris Cedex 16, France

Received: January 7, 2022

Revised: March 15, 2025

Published online: December 27, 2025

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Abstract

We prove a bumpy metric theorem in the sense of Mañé for non-convex Hamiltonians that are satisfying a certain geometric property.

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Mathematics Subject Classification: Primary: 37J06; Secondary: 70H12.

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References

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