Year: 2019
Type: preprint
Abstract: We prove that every stationary polyhedral varifold minimizes area in the following senses: (1) its area cannot be decreased by a one-to-one Lipschitz ambient deformation that coincides with the identity outside of a compact set, and (2) it is the varifold associated to a mass-minimizing flat chain with coefficients in a certain metric abelian group. NOTE: After this paper was posted, I learned that (1) and (2) were already proved by Choe and Morgan, respectively. Thus this paper is an exposition of their results.
Source: arXiv (Cornell University)
Author: White, Brian
Institution: Stanford University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2991377425