The authors define the Grassmann Distance Complexity for subanalytic sets in Grassmannians, prove uniform bounds for algebraic hypersurfaces, and derive a nonlinear Eckart-Young theorem for simple Schubert varieties.
Riemannian geometry
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The Grassmann distance complexity
The authors define the Grassmann Distance Complexity for subanalytic sets in Grassmannians, prove uniform bounds for algebraic hypersurfaces, and derive a nonlinear Eckart-Young theorem for simple Schubert varieties.