$\mathbb{R}^{n+1}$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 $\mathbb{R}^{n+1}$
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。