论文标题
varifolds的积分分解
Integral decompositions of varifolds
论文作者
论文摘要
本文将积分varifolds的分解概念介绍给了许多积分varifolds，并且存在这种积分varifolds的分解的存在，其第一个变化可以通过集成表示。此外，可以通过将积分varifolds替换为某些类别的可重新质量的varifolds，其密度从下方均匀界定。但是，这样的分解可能并非唯一。
This paper introduces a notion of decompositions of integral varifolds into countably many integral varifolds, and the existence of such decomposition of integral varifolds whose first variation is representable by integration is established. Furthermore, this result can be generalized by replacing the class of integral varifolds by some classes of rectifiable varifolds whose density is uniformly bounded from below. However, such decomposition may fail to be unique.
