Hopf-Rinow theorem in the Sato Grassmannian

DOI10.1016/j.jfa.2008.07.027zbMath1160.22010arXiv0808.2525OpenAlexW2963346095MaRDI QIDQ952499

Gabriel Larotonda, Esteban Andruchow

Publication date: 12 November 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2525

zbMATH Keywords

geodesicsSato Grassmannianinfinite projections

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (16)

General explicit descriptions for intertwining operators and direct rotations of two orthogonal projections ⋮ \(p\)-Schatten commutators of projections ⋮ Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve ⋮ The compatible Grassmannian ⋮ Stiefel and Grassmann manifolds in quantum chemistry ⋮ Hopf–Rinow theorem in Grassmann manifolds of C*-algebras ⋮ Geometric significance of Toeplitz kernels ⋮ Global symmetric approximation of frames ⋮ Optimal paths for symmetric actions in the unitary group ⋮ Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces ⋮ Sphere and projective space of a \(\mathcal{C}^*\)-algebra with a faithful state ⋮ Infinite-dimensional hyperkähler manifolds associated with Hermitian-symmetric affine coadjoint orbits ⋮ On restricted diagonalization ⋮ Finsler geometry and actions of the $p$-Schatten unitary groups ⋮ Canonical sphere bundles of the Grassmann manifold ⋮ Riemannian metrics on an infinite dimensional symplectic group

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