半対稱計量F-接続についての留意点
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概要
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In 1972 K. Yano and the author defined semi-symmetric metric F-connections and proved the following theorem. If, in an n-dimensional Kaehler manifold (n≧4), there exists a scalar function p such that the special semi-symmetric metric F-connection is of zero curvature, then the Bochner curvature tensor of the manifold vanishes. In the present paper, the author studies properties of the curvature tensor of a semi-symmetric metric F-connection.
- 文星芸術大学の論文