Sub-Riemannian Coarea Formula for Classes of Noncontact Mappings of Carnot Groups

被引：0

作者：

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

机构：

[1] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

MATHEMATICAL NOTES | 2024年 / 115卷 / 3-4期

关键词：

Carnot group; coarea factor; uniqueness; noncontact mapping; Hausdorff measure; QUASI-CONFORMAL MAPPINGS;

D O I：

10.1134/S0001434624030167

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：439 / 443

页数：5

共 50 条

[41] Polynomial Sub-Riemannian Differentiability on Carnot–Carathéodory Spaces
M. B. Karmanova
Siberian Mathematical Journal, 2018, 59 : 860 - 869
[42] SUB-RIEMANNIAN STRUCTURES ON GROUPS OF DIFFEOMORPHISMS
Arguillere, Sylvain
Trelat, Emmanuel
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2017, 16 (04) : 745 - 785
[43] MEASURE CONTRACTION PROPERTIES FOR TWO-STEP ANALYTIC SUB-RIEMANNIAN STRUCTURES AND LIPSCHITZ CARNOT GROUPS
Badreddine, Zeinab
Rifford, Ludovic
ANNALES DE L INSTITUT FOURIER, 2020, 70 (06) : 2303 - 2330
[44] BETTI NUMBERS, CHARACTERISTIC CLASSES AND SUB-RIEMANNIAN GEOMETRY
ZHONG, G
ILLINOIS JOURNAL OF MATHEMATICS, 1992, 36 (03) : 372 - 403
[45] Polynomial Sub-Riemannian Differentiability on Carnot-Carath,odory Spaces
Karmanova, M. B.
SIBERIAN MATHEMATICAL JOURNAL, 2018, 59 (05) : 860 - 869
[46] Harmonic maps into sub-Riemannian Lie groups
Grong, Erlend
Markina, Irina
COMMUNICATIONS IN ANALYSIS AND MECHANICS, 2023, 15 (03): : 515 - 532
[47] Tubular neighborhoods in the sub-Riemannian Heisenberg groups
Ritore, Manuel
ADVANCES IN CALCULUS OF VARIATIONS, 2021, 14 (01) : 1 - 36
[48] A Formula for Popp's Volume in Sub-Riemannian Geometry
Barilari, Davide
Rizzi, Luca
ANALYSIS AND GEOMETRY IN METRIC SPACES, 2013, 1 : 42 - 57
[49] A Classification of Sub-Riemannian Structures on the Heisenberg Groups
Biggs, Rory
Nagy, Peter T.
ACTA POLYTECHNICA HUNGARICA, 2013, 10 (07) : 41 - 52
[50] ULTRARIGID TANGENTS OF SUB-RIEMANNIAN NILPOTENT GROUPS
Le Donne, Enrico
Ottazzi, Alessandro
Ben Warhurst
ANNALES DE L INSTITUT FOURIER, 2014, 64 (06) : 2265 - 2282

← 1 2 3 4 5 →