{"paper":{"title":"On Jordan angles and triangle inequality in Grassmannian","license":"","headline":"","cross_cats":["math.MG","math.SP"],"primary_cat":"math.DG","authors_text":"Yurii A. Neretin","submitted_at":"2000-05-06T15:37:37Z","abstract_excerpt":"We obtain the following version of Lidskii theorem. Let L, M, N be p-dimensional subspaces in R^n. Let \\psi_j be the angles between L and M, let \\phi_j be the angles between M and N, and let \\theta_j be the angles between L and N. Consider the orbit of the vector \\psi with respect to permutations of coordinates and inversions of axises. Let Z be the convex hull of this orbit. Then \\theta is an element of the polyhedron \\phi + Z. We discuss similar theorems for other symmetric spaces. We obtain formula for geodesic distance for any invariant Finsler metrics on a classical Riemannian symmetric s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0005059","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}