论文标题
平均凸锥的平均凸平
Mean Convex Smoothing of Mean Convex Cones
论文作者
论文摘要
我们表明，任何最小化的超模型都可以在欧几里得空间中的适当嵌入的平滑性超浮液中扰动到一侧，每个粘度表示凸锥均允许适当嵌入的平滑平均平均平均凸平凸自膨化，以使其接近无限。这两个共同证实了劳森\ cite的猜想[问题5.7] {brothers86_openproblems}。
We show that any minimizing hypercone can be perturbed into one side to a properly embedded smooth minimizing hypersurface in the Euclidean space, and every viscosity mean convex cone admits a properly embedded smooth mean convex self-expander asymptotic to it near infinity. These two together confirm a conjecture of Lawson \cite[Problem 5.7]{Brothers86_OpenProblems}.
