半対称計量φ-接続に関する一考察
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概要
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In 1977 K. Yano and the author defined semi-symmetric metric φ-connections and proved the following theorem. If, in a (2m+1)-dimensional Sasakian manifold (m≧2), there exists a scalar function p that the special semi-symmetric metric φ-connection is of zero curvature, then the contact Bochner curvature tensor of the manifold vanishes. In the present paper, the author studies a property of the curvature tensor of a semi-symmetric metric φ-connection in a Sasakian manifold.
- 文星芸術大学の論文