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math.DG2026
Reduction of symmetric time-dependent Hamiltonian systems I: presymplectic principal -bundles
C. Benítez, D. Iglesias Ponte, J. C. Marrero +1
The reduction of mechanical presymplectic structures and its application to the reduction of time-dependent Hamiltonian systems were developed in a recent paper (Gutiérrez Sagredo…
math.DG2024
Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces
Ivan Gutierrez-Sagredo, David Iglesias Ponte, Juan Carlos Marrero +1
In this paper, we introduce the notion of a multiplicative unimodularity for a coisotropic Poisson homogeneous space. Then, we discuss the unimodularity and the multiplicative unim…