Let m be a compact and connected Riemannian manifold.

设m是紧致连通的黎曼流形。

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This paper studies the Schouten tensor on the locally conformally flat manifold, and gets some sufficient conditions for m to be the space of constant curvature, which improves the known results.

对局部对称共形平坦黎曼流形中具有平坦法丛的极小子流形作了一些讨论，得到了极小子流形是全测地的两个充分条件。

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