Area of Some Holder Surfaces on Carnot-Carath,odory Spaces

被引：1

作者：

Karmanova, M. B. ^{[1
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk 630090, Russia

来源：

DOKLADY MATHEMATICS | 2018年 / 97卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

CARNOT-CARATHEODORY SPACES; MAPPINGS;

D O I：

10.1134/S1064562418010234

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An area formula for classes of Holder mappings on Carnot-Carath,odory spaces is proved. As important particular cases, general and classical versions of surface measure calculation for graph surfaces are considered.

引用

页码：73 / 76

页数：4

共 6 条

[1] Basalaev SG, 2013, EURASIAN MATH J, V4, P10
[2] [Карманова М.Б. Karmanova M.B.], 2017, [Доклады Академии наук, Doklady Akademii nauk], V477, P11, DOI 10.7868/S0869565217310024
[3] Approximation of Holder Mappings on Carnot-Caratheodory Spaces
Karmanova, M. B.
[J]. DOKLADY MATHEMATICS, 2017, 95 (03) : 199 - 202
[4] Metric properties of classes of Holder surfaces on Carnot groups
Karmanova, M. B.
[J]. DOKLADY MATHEMATICS, 2017, 95 (02) : 118 - 121
[5] Geometry of Carnot-Caratheodory Spaces, Differentiability, Coarea and Area Formulas
Karmanova, Maria
Vodop'yanov, Sergey
[J]. ANALYSIS AND MATHEMATICAL PHYSICS-BOOK, 2009, : 233 - 335
[6] Postnikov M., 1982, Lectures in Geometry. Semester I: Analytic Geometry

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