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arXiv 2109.12934math.DGmath.APmath.CA
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$\mathbb{R}^{n+1}$中凹型完全非线性外几何流平移孤子的凸性估计

Convexity estimate for translating solitons of concave fully nonlinear extrinsic geometric flows in $\mathbb{R}^{n+1}$

Jose Torres Santaella

摘要:

本文的主要结果是外几何流在主曲率的$1$ -齐次凹函数下演化的平移孤子的凸性估计。此外,我们显示这些超曲面的例子在$\mathbb{R}^{n+1}$的特定功能。

英文摘要:

The main result of this paper is a convexity estimate for translating solitons of extrinsic geometric flows which evolve under a $1$-homogeneous concave function in the principal curvatures. In addition, we show examples of these hypersurfaces in $\mathbb{R}^{n+1}$ for particular functions.

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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