6 papers
Special vector fields on Riemannian manifolds of constant negative sectional curvature and conservation laws
Keti Tenenblat, Alice Barbora Tumpach
We show that any -dimensional Riemannian manifold with constant negative sectional curvature admits local orthonormal vector fields such that one of them is tangent to geo…
Hyperkaehler Marriage of the two sphere with the hyperbolic space
Alice Barbora Tumpach
The Eguchi-Hanson metric is a natural metric on the total space of the cotangent bundle of the complex projective line , whi…
Infinite-dimensional Siegel disc as symplectic and Kaehler quotient
Alice Barbora Tumpach
In this paper, we construct the restricted infinite-dimensional Siegel disc as a Marsden-Weinstein symplectic reduced space and as Kaehler quotient of a weak Kaehler manifold. The…
Poisson structures in the Banach setting: comparison of different approaches
Tomasz GoliÅski, 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…
Nijenhuis operators on homogeneous spaces related to -algebras
Tomasz GoliÅski, 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…
Nijenhuis operators on Banach homogeneous spaces
Tomasz GoliÅski, 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…