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Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation

Absil, P-A; Mahony, Robert; Sepulchre, R

Description

We give simple formulas for the canonical metric, gradient, Lie derivative, Riemannian connection, parallel translation, geodesics and distance on the Grassmann manifold of p-planes in ℝn. In these formulas, p-planes are represented as the column space

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
URI: http://hdl.handle.net/1885/77911
Source: Acta Applicandae Mathematicae
DOI: 10.1023/B:ACAP.0000013855.14971.91

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