论文标题
Huisken单调性公式和翻译人员的熵的边界项
The Boundary Term in Huisken's Monotonicity Formula and the Entropy of Translators
论文作者
论文摘要
对于通过平均曲率流动的歧管 - 边界移动，较晚时间的熵在较早的时间内由熵和边界项界定。本文以几何自然的方式控制边界项。特别地，它（在温和的假设下）表明，紧凑型翻译器的熵小于或等于边界的熵加上边界的最大圆锥密度。
For a manifold-with-boundary moving by mean curvature flow, the entropy at a later time is bounded by the entropy at an earlier time plus a boundary term. This paper controls the boundary term in a geometrically natural way. In particular, it shows (under mild hypotheses)that the entropy of a compact translator is less than or equal to the entropy of the boundary plus the maximal cone density of the boundary.
