On Differential Geomentry and Homogeneous Spaces. I.
Let M be a Riemannian manifold with the corresponding affine connection, X an infinitesimal motion on M, and V 0 the tangent space at a point 0 ? M. Let S 0 (the holonomy algebra) be the Lie algebra of the restricted holonomy group at 0 ? M.
KeywordsRiemannian Manifold Mathematical Method Differential Geometry Tangent Space Homogeneous Space
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