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학술저널

CURVATURE TENSOR FIELDS ON HOMOGENEOUS SPACES

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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 a±ne connection at the point fHg of a reductive homogeneous space G=H in the paper `Invariant a±ne connections on homogeneous spaces by K. Nomizu.

1. Introduction

2. Reductive homogeneous spaces

3. Curvature tensor ¯elds of invariant a±ne connections

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