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math.DG2018★ 1 cited
The metric geometry of infinite dimensional Lie groups and their homogeneous spaces
Gabriel Larotonda
We study the geometry of Lie groups with a continuous Finsler metric, assuming the existence of a subgroup such that the metric is right-invariant for the action of . We…
math.DG2018
Canonical sphere bundles of the Grassmann manifold
Esteban Andruchow, Eduardo Chiumiento, Gabriel Larotonda
For a given Hilbert space , consider the space of self-adjoint projections . In this paper we study the differentiable structure of a canonical…