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arXiv math/0610943math.DG
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Yau平方算子的广义最大值原理及其在稳态状态空间中的应用

A Generalized Maximum Principle for Yau's Square Operator, with Applications to the Steady State Space

Antonio Caminha, Henrique de Lima

摘要:

我们推导出,为平方运算的丘,一个类似的Omori-Yau最大值原理的拉普拉斯算子。然后我们应用它得到了稳态状态空间中具有常高阶中曲率的完备类空超曲面的不存在性结果。

英文摘要:

We derive, for the square operator of Yau, an analogue of the Omori-Yau maximum principle for the Laplacian. We then apply it to obtain nonexistence results concerning complete spacelike hypersurfaces with constant higher order mean curvature in the Steady State space.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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