🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

Metric properties of classes of Hölder surfaces on Carnot groups


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

Area formulas for classes of Hölder mappings of Carnot groups and the corresponding graph mappings are obtained. The calculation of a nonintrinsic measure is exemplified.

About the authors

M. B. Karmanova

Sobolev Institute of Mathematics, Siberian Branch

Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, pr. Akademika Koptyuga 4, Novosibirsk, 630090

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2017 Pleiades Publishing, Ltd.