CURVATURE TENSOR FIELDS ON HOMOGENEOUS SPACES

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Published: Nov 15, 2011
DOI: https://doi.org/10.14403/jcms.2011.24.4.825
Keywords:
reductive homogeneous space, invariant connection, curvature tensor field
Mathematics Subject Classification (2020):
Primary 53C30, 53C25

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Joon-Sik Park
Department of Mathematics, Busan University of Foreign Studies

Abstract





In this paper, we make a minute and detailed proof of a part which is omitted in the process of obtaining the value of the curvature tensor for an invariant affine connection at the point {H} of a reductive homogeneous space G/H in the paper 'Invariant affine connections on homogeneous spaces' by K. Nomizu.





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Article Details

Issue
Vol. 24 No. 4 (2011)
Section
Articles