25 citations · 82 across the 18 of their papers we have counts for
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nlin.SI2024★ 3 cited
Geometry of Integrable Systems Related to the Restricted Grassmannian
Tomasz Goliński, Alice Barbara Tumpach
A hierarchy of differential equations on a Banach Lie-Poisson space related to the restricted Grassmannian is studied. Flows on the groupoid of partial isometries and on the restri…
math.DG2024
Totally geodesic submanifolds in the manifold SPD of symmetric positive-definite real matrices
Alice Barbara Tumpach, Gabriel Larotonda
This paper is a self-contained exposition of the geometry of symmetric positive-definite real matrices , including necessary and sufficent condit…
math.SG2024
The restricted Siegel disc as coadjoint orbit
François Gay-Balmaz, Tudor S. Ratiu, Alice B. Tumpach
The restricted Siegel disc is a homogeneous space related to the connected component of the Universal Teichmüller space via the period mapping. In this paper we show that…