3 papers
math-ph2024
Poisson structures in the Banach setting: comparison of different approaches
Tomasz Goliński, Praful Rahangdale, Alice Barbora Tumpach
In this paper we examine various approaches to the notion of Poisson manifold in the context of Banach manifolds. Existing definitions are presented and differences between them ar…
math.DG2024
Nijenhuis operators on homogeneous spaces related to -algebras
Tomasz Goliński, Gabriel Larotonda, Alice Barbora Tumpach
For a unital non-simple -algebra we consider its Banach--Lie group of invertible elements. For a given closed ideal in , we consider…
math.DG2024
Nijenhuis operators on Banach homogeneous spaces
Tomasz Goliński, Gabriel Larotonda, Alice Barbora Tumpach
For a Banach--Lie group and an embedded Lie subgroup we consider the homogeneous Banach manifold . In this context we establish the most general conditions…