退潮
发表于 2025-3-28 15:10:52
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 ..
宽宏大量
发表于 2025-3-28 20:39:38
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forager
发表于 2025-3-28 23:46:37
On Holonomy and Homogeneous Spaces,ral than the others. We refer to the connections which K. Nomizu in 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 ) when it induced such a connection.
冷漠
发表于 2025-3-29 04:11:51
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灿烂
发表于 2025-3-29 09:04:15
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 ..
Paradox
发表于 2025-3-29 12:45:47
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GRATE
发表于 2025-3-29 16:44:10
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Simulate
发表于 2025-3-29 22:52:20
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事与愿违
发表于 2025-3-30 00:13:39
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shrill
发表于 2025-3-30 06:12:49
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