A proof of Hörmander’s theorem for sublaplacians on Carnot groups

Nonlinear Analysis ◽

10.1016/j.na.2015.02.021 ◽

2015 ◽

Vol 126 ◽

pp. 170-200 ◽

Author(s):

Marco Bramanti ◽

Luca Brandolini

Keyword(s):

Carnot Groups ◽

Hörmander's Theorem

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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):

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Extremals in some classes of Carnot groups

Science China Mathematics ◽

10.1007/s11425-011-4286-6 ◽

2011 ◽

Vol 55 (3) ◽

pp. 633-646 ◽

Author(s):

TiRen Huang ◽

XiaoPing Yang

Keyword(s):

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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 ◽

Author(s):

Francescopaolo Montefalcone

Keyword(s):

Carnot Groups ◽

Variational Formulas

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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

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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):

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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 ◽

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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 ◽

Author(s):

Erin Haller Martin

Keyword(s):

Gauss Curvature ◽

Curvature Flow ◽

Carnot Groups ◽

Gauss Curvature Flow

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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 ◽

Author(s):

Irina Markina ◽

Sergey Vodopyanov

Keyword(s):

Carnot Groups ◽

Quasimeromorphic Mappings

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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 ◽

Author(s):

Filippo De Mari ◽

Alessandro Ottazzi

Keyword(s):

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Improved Hörmander’s theorem and new methods for oscillatory integral operators

Acta Mathematica Sinica English Series ◽

10.1007/s10114-009-7515-y ◽

2009 ◽

Vol 25 (11) ◽

pp. 1865-1874

Author(s):

Sheng-Ming Ma

Keyword(s):

Integral Operators ◽

Oscillatory Integral ◽

New Methods ◽

Oscillatory Integral Operators ◽

Hörmander's Theorem

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