Conformal maps of Carnot groups

Michael Cowling, Alessandro Ottazzi

Type: Article

Publication Date: 2015-01-01

Citations: 20

DOI: https://doi.org/10.5186/aasfm.2015.4008

View Publication

Locations

Annales Academiae Scientiarum Fennicae Mathematica - View
arXiv (Cornell University) - View - PDF
UNSWorks (University of New South Wales, Sydney, Australia) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Conformal maps of Carnot groups	2013	Michael Cowling Alessandro Ottazzi
+	Conformal maps of Carnot groups	2013	Michael Cowling Alessandro Ottazzi
+ PDF Chat	Conformal and CR mappings on Carnot groups	2020	Michael Cowling Ji Li Alessandro Ottazzi Qingyan Wu
+	Conformal and CR mappings on Carnot groups	2018	Michael Cowling Ji Li Alessandro Ottazzi Qingyan Wu
+	Sobolev mappings between nonrigid Carnot groups	2021	Bruce Kleiner Stefan C. Müller Xiangdong Xie
+ PDF Chat	Sobolev mappings between nonrigid Carnot groups	2021	Bruce Kleiner Stefan C. Müller Xiangdong Xie
+ PDF Chat	Conformal groups and conformally equivalent isometry groups	1975	L. Defrise-Carter
+	The Conformal Group	2008
+	Conformal actions of nilpotent groups on pseudo-Riemannian manifolds	2010	Charles Frances Karin Melnick
+	Quasi-conformal maps on model Filiform groups	2015	Xiangdong Xie
+ PDF Chat	Non-linear representations of the conformal group and mapping of galileons	2013	Paolo Creminelli Marco Serone Enrico Trincherini
+ PDF Chat	The Conformal Transformation Group of a Compact Riemannian Manifold	1962	Samuel I. Goldberg Shôshichi Kobayashi
+	The Cayley transform and uniformly bounded representations	2004	Francesca Astengo Michael Cowling Bianca Di Blasio
+	Invertible Carnot Groups	2014	David Freeman
+	Invertible Carnot Groups	2014	David M. Freeman
+	A primer on Carnot groups: homogenous groups, CC spaces, and regularity of their isometries	2016	Enrico Le Donne
+	A primer on Carnot groups: homogenous groups, CC spaces, and regularity of their isometries	2016	Enrico Le Donne
+ PDF Chat	CONFORMAL ACTIONS OF REAL-RANK 1 SIMPLE LIE GROUPS ON PSEUDO-RIEMANNIAN MANIFOLDS	2019	Vincent Pecastaing
+ PDF Chat	The group of conformal transformations of a compact Riemannian manifold	1968	Chuan-Chih Hsiung Jong-Diing Liu
+ PDF Chat	Pseudo-Conformal Actions of the Möbius Group	2023	Mehdi Belraouti Mohamed Deffaf Yazid Raffed Abdelghani Zeghib

Works That Cite This (20)

Action	Title	Year	Authors
+ PDF Chat	Conformal and CR mappings on Carnot groups	2020	Michael Cowling Ji Li Alessandro Ottazzi Qingyan Wu
+	A new proof of the $C^\infty$ regularity of $C^2$ conformal mappings on the Heisenberg group	2017	Alex D. Austin Jeremy T. Tyson
+	Constant Curvature Models in Sub-Riemannian Geometry	2017	Dmitri V. Alekseevsky Alexandr Medvedev Jan Slovák
+ PDF Chat	A fibered Tukia theorem for nilpotent Lie groups	2023	Tullia Dymarz David E. Fisher Xiangdong Xie
+	Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups	2016	Francescopaolo Montefalcone
+ PDF Chat	Conformality and Q-harmonicity in sub-Riemannian manifolds	2017	Luca Capogna Giovanna Citti Enrico Le Donne Alessandro Ottazzi
+	Constant curvature models in sub-Riemannian geometry	2018	Dmitri V. Alekseevsky Alexandr Medvedev Jan Slovák
+	On conformal pseudo-subriemannian fundamental graded Lie algebras of semisimple type	2018	Tomoaki Yatsui
+	The Yamabe operator and invariants on octonionic contact manifolds and convex cocompact subgroups of ${\rm F}_{4(-20)}$	2021	Yun Shi Wei Wang
+ PDF Chat	Rigidity for convex-cocompact actions on rank-one symmetric spaces	2018	Guy C. David Kyle Kinneberg

Works Cited by This (18)

Action	Title	Year	Authors
+	Groupes et algébras de Lie	2007	Nicolás Bourbaki
+	Strong Rigidity of Locally Symmetric Spaces.	1973	G. D. Mostow
+	Geometry of nonholonomic systems	2006	A. Bellaïche Frédéric Jean Jean-Jacques Risler
+	Hardy spaces on homogeneous groups	1982	Gerald B. Folland Elias M. Stein
+	Contact and 1-quasiconformal maps on Carnot groups	2010	Alessandro Ottazzi Ben Warhurst
+	Groupes et algèbres de Lie	1971	Nicolás Bourbaki
+	A Tour of Subriemannian Geometries, Their Geodesics and Applications	2006	Richard Montgomery
+	Singular solutions, homogeneous norms, and quasiconformal mappings in Carnot groups	2002	Zoltán M. Balogh Ilkka Holopainen Jeremy T. Tyson
+ PDF Chat	Conformality and Q-harmonicity in Carnot groups	2006	Luca Capogna Michael Cowling
+	Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups	2008	Zoltán M. Balogh Jeremy T. Tyson Ben Warhurst