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引用次数: 15
摘要
摘要本文研究了度规为Yamabe孤子的(LCS) n流形的一些性质。建立了n -流形在孤子稳定时的一些表征。其次，我们研究了允许Yamabe孤子的(LCS) n -流形的某些曲率条件。最后构造了一个满足上述结果的三维n流形。
Abstract The object of the present paper is to study some properties of (LCS) n -manifolds whose metric is Yamabe soliton. We establish some characterization of (LCS) n -manifolds when the soliton becomes steady. Next we have studied some certain curvature conditions of (LCS) n -manifolds admitting Yamabe solitons. Lastly we construct a 3-dimensional (LCS) n -manifold satisfying the results.
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