Almost existence from the feral perspective and some questions Article Swipe
Related Concepts
Symplectic geometry
Hamiltonian (control theory)
Periodic orbits
Mathematics
Adiabatic process
Pure mathematics
Hamiltonian system
Variety (cybernetics)
Mathematical physics
Mathematical analysis
Physics
Quantum mechanics
Mathematical optimization
Statistics
Joel W. Fish
,
Helmut Hofer
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1017/etds.2021.20
· OA: W3038666986
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1017/etds.2021.20
· OA: W3038666986
We use feral pseudoholomorphic curves and adiabatic degeneration to prove an extended version of the so-called ‘almost existence result’ for regular compact Hamiltonian energy surfaces. That is, that for a variety of symplectic manifolds equipped with a Hamiltonian, almost every (non-empty) compact energy level has a periodic orbit.
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