Abstract
The structure of the tangent bundle of the real Grassmann manifold G+p,n under the Plucker embedding (in the exterior algebra of the initial Euclidean space) is studied. Explicit expressions for the relation between decompositions of a tangent vector with respect to different bases of the tangent space are obtained, and a constructivemethod yielding the canonical (= simplest) decomposition is presented. Bibliography: 8 titles.
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