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Geometric Properties and Distance Inequalities on Grassmannians

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arxiv 2412.15161 v1 pith:JUC4QVUN submitted 2024-12-19 math.DG

Tin-Yau Tam , Xiang Xiang Wang This is my paper
classification math.DG
keywords inequalitiesgrassmanniansgeometriccosinesdistanceelementsellipticgeodesic
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In this paper we obtain inequalities for the geometric mean of elements in the Grassmannians. These inequalities reflect the elliptic geometry of the Grassmannians as Riemannian manifolds. These include Semi-Parallelogram Law, Law of Cosines and geodesic triangle inequalities.

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  1. Color Image Set Recognition Based on Quaternionic Grassmannians

    cs.CV 2025-05 reject novelty 4.0 of 10

    Color image sets are mapped to quaternionic subspaces and classified by a proposed geodesic distance formula, tested on ETH-80 and highway traffic videos.

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