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<p>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.</p>

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Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月8日

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  • I. Gutierrez-Sagredo,
  • D. Iglesias-Ponte,
  • J. C. Marrero,
  • E. Padrón

摘要

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.