Contact geometry in infinite dimensions

2025/12/17 by Sanders, Fraser Aidan Kelvin
#46T05 (Secondary) #53D10(Primary) 37J55 #70H05 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2512.15389

Abstract

We generalise the theories of cosymplectic, contact, and cocontact manifolds to the infinite-dimensional setting and calculate model examples of time-dependent and dissipative Hamiltonian systems.

Citations

• Symplectic Reduction in Infinite Dimensions
• Equilibria and bifurcations in contact dynamics

Related

• Time-dependent contact mechanics
• A geometric approach to solve time dependent and dissipative Hamiltonian systems
• A relation between k-symplectic and k-contact Hamiltonian systems
• Geometrical aspects of contact mechanical systems and field theories
• Introduction to contact complete integrability