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A ne distributions on a four-dimensional extension of the semi-Euclidean group


Abstract


The invariant affine distributions on a four-dimensional central extension of the semi-Euclidean group are classified (up to group automorphism). This classification is briefly discussed in the context of invariant control theory and sub-Riemannian geometry.

DOI Code: 10.1285/i15900932v35n2p81

Keywords: a ne distribution; Lie algebra; invariant control system; sub-Riemannian structure

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