RT info:eu-repo/semantics/article
T1 Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces
A1 Gutiérrez Sagredo, Iván
A1 Iglesias-Ponte, D.
A1 Marrero, J. C.
A1 Padrón, E.
K1 Unimodularity
K1 Multiplicative unimodularity
K1 Hamiltonian systems
K1 Invariant volume forms
K1 Coisotropic
K1 Poisson homogeneous spaces
K1 Geometría diferencial
K1 Geometry, Differential
K1 Sistemas de Hamilton
K1 Hamiltonian systems
AB In this paper, we introduce a notion of multiplicative unimodularity for a coisotropic Poisson homogeneous space. Then, we discuss the unimodularity and the multiplicative unimodularity for these spaces and the existence of an invariant volume form for explicit Hamiltonian systems on such spaces. Several interesting examples illustrating the theoretical results are also presented.
PB Springer
SN 1664-2368
YR 2025
FD 2025-02
LK https://hdl.handle.net/10259/11583
UL https://hdl.handle.net/10259/11583
LA eng
NO I. Gutierrez-Sagredo has been partially supported by Agencia Estatal de Investigación (Spain) under grant PID2023-148373NB-I 00 funded by MCIN /AEI /10.13039/501100011033/FEDER and by the Q-CAYLE Project funded by the Regional Government of Castilla y León (Junta de Castilla y León). D. Iglesias, J.C. Marrero and E. Padrón acknowledge financial support from the Spanish Ministry of Science and Innovation under grant PID2022-137909NB-C22. All the authors has been partially supported by Agencia Estatal de Investigación (Spain) under grant RED2022-134301-TD. I. Gutierrez-Sagredo thanks Universidad de La Laguna where part of the work has been done for the hospitality and support. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.
DS Repositorio Institucional de la Universidad de Burgos
RD 08-may-2026