Abstract
The invariant affine connection over a coset space G/J of a Lie group G have been discussed by various authors. Recently, Nomizu [8] gave a systematic study of this problem when J is reductible in G. Among other results, he established a 1-1 correspondence between the invariant affine connections and certain multilinear mappings, and calculated the torsion and curvature. For canonical affine connection of the second kind, the holonomy group was also given.
Publisher
Cambridge University Press (CUP)
Reference13 articles.
1. Lie groups and differential geometry;Nomizu;Math. Soc. of Japan,1956
2. Topics in differential geometry;Chern;Institute for Advanced Study notes,1951
3. On Automorphisms of A Kählerian Structure
4. A theorem on holonomy
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82 articles.
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