电邮这篇文章 Level Sets of Classes of Mappings of Two-Step Carnot Groups in a Nonholonomic Interpretation
- 作者: Karmanova M.1
-
隶属关系:
- Sobolev Institute of Mathematics
- 期: 卷 60, 编号 2 (2019)
- 页面: 304-311
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172331
- DOI: https://doi.org/10.1134/S0037446619020101
- ID: 172331
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详细
We obtain the metric properties of level sets of certain sufficiently smooth mappings of two-step Carnot groups which are Hölder in the sub-Riemannian sense. In particular, we calculate the Hausdorff dimension of these sets and prove a coarea formula of a new type.
作者简介
M. Karmanova
Sobolev Institute of Mathematics
编辑信件的主要联系方式.
Email: maryka@math.nsc.ru
俄罗斯联邦, Novosibirsk
