Conformal and CR mappings on Carnot groups

Proceedings of the American Mathematical Society Series B ◽

10.1090/bproc/48 ◽

2020 ◽

Vol 7 (6) ◽

pp. 67-81

Author(s):

Michael G. Cowling ◽

Ji Li ◽

Alessandro Ottazzi ◽

Qingyan Wu

Keyword(s):

Carnot Groups ◽

Cr Mappings

Download Full-text

Level sets of classes of mappings of two-step Carnot groups in a nonholonomic interpretation

Sibirskii matematicheskii zhurnal ◽

10.33048/smzh.2019.60.210 ◽

2017 ◽

Vol 60 (2) ◽

pp. 391-400

Author(s):

M. B. Karmanova

Keyword(s):

Level Sets ◽

Carnot Groups

Download Full-text

Extremals in some classes of Carnot groups

Science China Mathematics ◽

10.1007/s11425-011-4286-6 ◽

2011 ◽

Vol 55 (3) ◽

pp. 633-646 ◽

Cited By ~ 3

Author(s):

TiRen Huang ◽

XiaoPing Yang

Keyword(s):

Carnot Groups

Download Full-text

Hypersurfaces and variational formulas in sub-Riemannian Carnot groups

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2007.01.009 ◽

2007 ◽

Vol 87 (5) ◽

pp. 453-494 ◽

Cited By ~ 14

Author(s):

Francescopaolo Montefalcone

Keyword(s):

Carnot Groups ◽

Variational Formulas

Download Full-text

The Coarea Formula for Vector Functions on Carnot Groups with Sub-Lorentzian Structure

Siberian Mathematical Journal ◽

10.1134/s0037446621020051 ◽

2021 ◽

Vol 62 (2) ◽

pp. 239-261

Author(s):

M. B. Karmanova

Keyword(s):

Coarea Formula ◽

Carnot Groups ◽

Lorentzian Structure

Download Full-text

Horizontal Joinability in Canonical 3-Step Carnot Groups with Corank 2 Horizontal Distributions

Siberian Mathematical Journal ◽

10.1134/s0037446621040030 ◽

2021 ◽

Vol 62 (4) ◽

pp. 598-606

Author(s):

A. V. Greshnov ◽

R. I. Zhukov

Keyword(s):

Carnot Groups

Download Full-text

Singular integrals on C1,α regular curves in Carnot groups

Journal d Analyse Mathématique ◽

10.1007/s11854-021-0194-z ◽

2021 ◽

Author(s):

Vasileios Chousionis ◽

Sean Li ◽

Scott Zimmerman

Keyword(s):

Singular Integrals ◽

Carnot Groups

Download Full-text

Horizontal Gauss curvature flow of graphs in Carnot groups

Indiana University Mathematics Journal ◽

10.1512/iumj.2011.60.4411 ◽

2011 ◽

Vol 60 (4) ◽

pp. 1267-1302 ◽

Cited By ~ 1

Author(s):

Erin Haller Martin

Keyword(s):

Gauss Curvature ◽

Curvature Flow ◽

Carnot Groups ◽

Gauss Curvature Flow

Download Full-text

On value distributions for quasimeromorphic mappings on H-type Carnot groups

Bulletin des Sciences Mathématiques ◽

10.1016/j.bulsci.2005.10.003 ◽

2006 ◽

Vol 130 (6) ◽

pp. 467-523 ◽

Cited By ~ 4

Author(s):

Irina Markina ◽

Sergey Vodopyanov

Keyword(s):

Carnot Groups ◽

Quasimeromorphic Mappings

Download Full-text

Rigidity of Carnot groups relative to multicontact structures

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-10-10212-3 ◽

2010 ◽

Vol 138 (05) ◽

pp. 1889-1895 ◽

Cited By ~ 4

Author(s):

Filippo De Mari ◽

Alessandro Ottazzi

Keyword(s):

Carnot Groups

Download Full-text

On $CR$-mappings between algebraic Cauchy-Riemann manifolds and separate algebraicity for holomorphic functions

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-96-01506-1 ◽

1996 ◽

Vol 348 (2) ◽

pp. 767-780 ◽

Cited By ~ 11

Author(s):

Ruslan Sharipov ◽

Alexander Sukhov

Keyword(s):

Holomorphic Functions ◽

Cr Mappings ◽

Riemann Manifolds ◽

Cauchy Riemann

Download Full-text