Infinitesimal isometries of frame bundles with natural Riemannian metric (Q1177404)

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scientific article; zbMATH DE number 20401
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Infinitesimal isometries of frame bundles with natural Riemannian metric
scientific article; zbMATH DE number 20401

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    Infinitesimal isometries of frame bundles with natural Riemannian metric (English)
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    26 June 1992
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    A canonical decomposition of Killing fields on \(SO(M)\) and a certain sufficient condition of an existence of such fields are given. (The preliminary definitions seem to be irrelevant).
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    Killing vector
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    horizontal space
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    bi-invariant metric
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    curvature
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