2026-05-08T08:15:22Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/115832026-05-07T10:16:32Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558
Gutiérrez Sagredo, Iván
Iglesias-Ponte, D.
Marrero, J. C.
Padrón, E.
2026-05-06T08:04:54Z
2026-05-06T08:04:54Z
2025-02
1664-2368
https://hdl.handle.net/10259/11583
10.1007/s13324-024-01003-z
1664-235X
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.
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.
application/pdf
eng
Springer
Analysis and Mathematical Physics. 2025, V. 15, n. 1, 8
https://doi.org/10.1007/s13324-024-01003-z
Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
Unimodularity
Multiplicative unimodularity
Hamiltonian systems
Invariant volume forms
Coisotropic
Poisson homogeneous spaces
Geometría diferencial
Sistemas de Hamilton
Geometry, Differential
Hamiltonian systems
Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Analysis and Mathematical Physics
15
1https://ror.org/051jb1k20Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE)hybrid-oa12300,08 EUR36568439Springer Nature2025-07-292025-11-142025-01-012027-12-3110.1007/s13324-024-01003-z