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Titlebook: Collected Papers; Volume I 1955-1966 Bertram Kostant,Anthony Joseph,Shrawan Kumar,Michè Book 2009 The Editor(s) (if applicable) and The Aut

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Holonomy and the Lie Algebra of Infinitesimal Motions of A Riemannian Manifold,nishes at a point . ? . then . induces, in a natural way, an endomorphism .. of the tangent space .. at .. In fact if . ? .. and . is any vector field whose value at . is ., then define ... = [., .].. It is not hard to see that [., .]. does not depend on . so long as the value of . at . is ..
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On Holonomy and Homogeneous Spaces,ral than the others. We refer to the connections which K. Nomizu in [4] calls canonical affine connections of the first kind. When . is a compact connected Lie group and . a closed subgroup we called an invariant Riemannian metric on ., natural (in [2]) when it induced such a connection.
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Eigenvalues of a Laplacian and Commutative Lie Subalgebras,ued left invariant differential forms may be naturally identified with the exterior algebra ?.. Also, one knows then that ?. is stable under the Laplacian defined with respect to the canonical Riemannian metric on ..
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