|
This article is cited in 3 scientific papers (total in 3 papers)
On the class of Hölder surfaces in Carnot–Carathéodory spaces
M. B. Karmanova Sobolev Institute of Mathematics, Novosibirsk, Russia
Abstract:
Considering two classes of Hölder mappings of Carnot–Carathédory spaces, graph mappings and smooth mappings in the Riemannian sense, we obtain an area formula for image surfaces. In particular, we describe the structure of the polynomial sub-Riemannian differential for graph mappings.
Keywords:
Carnot–Carathéodory space, Hölder mapping, graph mapping, polynomial sub-Riemannian differentiability, intrinsic measure, area formula.
Received: 10.10.2017 Revised: 04.10.2018 Accepted: 17.10.2018
Citation:
M. B. Karmanova, “On the class of Hölder surfaces in Carnot–Carathéodory spaces”, Sibirsk. Mat. Zh., 60:5 (2019), 1103–1132; Siberian Math. J., 60:5 (2019), 861–885
Linking options:
https://www.mathnet.ru/eng/smj3136 https://www.mathnet.ru/eng/smj/v60/i5/p1103
|
Statistics & downloads: |
Abstract page: | 234 | Full-text PDF : | 78 | References: | 28 | First page: | 4 |
|