Boolean representation of manifolds and functions
经典分析与常微分方程
2007-05-23 v1
摘要
It is shown that a smooth n dimensional manifold with a boundary in R^n admits a Boolean representation in terms of closed half spaces defined by the tangent hyperplanes at the points on its boundary. A similar result is established for smooth functions on closed convex domains in R^n. The latter result is considered as a form of the Legendre transformation.
引用
@article{arxiv.math/0102007,
title = {Boolean representation of manifolds and functions},
author = {Sergei Ovchinnikov},
journal= {arXiv preprint arXiv:math/0102007},
year = {2007}
}
备注
6 pages, 1 figure