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arXiv 1208.1322math.DG
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半椭圆迹算子的最大值原理及其几何应用

Maximum principle for semi-elliptic trace operators and geometric applications

G. Pacelli Bessa, Leandro F. Pessoa

摘要:

基于L. Alías,D. Impera和M. Rigoli在“Hypersurfaces of constant higher order中曲率in warped products”一文中发展了迹算子的弱/Omori-Yau最大值原理。我们应用这个版本的最大值原理推广了几个高阶中曲率估计,并给出了Alias-Impera-Rigoli切片定理的一个推广

英文摘要:

Based on ideas of L. Alías, D. Impera and M. Rigoli developed in "Hypersurfaces of constant higher order mean curvature in warped products", we develope a fairly general weak/Omori-Yau maximum principle for trace operators. We apply this version of maximum principle to generalize several higher order mean curvature estimates and to give an extension of Alias-Impera-Rigoli Slice Theorem

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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