Abstract. In this note we prove that isometries in a conformally invariant metric of a general domain are quasiconformal. In the special case of the punctured space we prove that isometries in this metric are Möbius, which is conjectured in [FMV]. 1
AbstractWe prove versions of the Ahlfors–Schwarz lemma for quasiconformal euclidean harmonic functio...
AbstractIn this note we show that a harmonic quasiconformal mapping f=u+iv with respect to the Poinc...
Abstract. We present uniform and pointwise estimates for various ratios of the hyperbolic, quasihype...
Abstract. In this paper, we investigate the concept of (dimension) free quasi-conformality in metric...
Abstract. The Apollonian metric aD of a domain D ⊂ Rn is rarely con-formal. In fact, if it is confor...
The theory of quasiconformal mappings generalizes to higher dimensions the geometric viewpoint in co...
Abstract We prove by elementary means a regularity theorem for quasi-isometries of T ×Rn (where T de...
We study metric spaces defined via a conformal weight, or more generally a measurable Finsler struct...
We prove that the every quasi-isometry of Teichmüller space equipped with the Teichmüller metric i...
For a domain G in the one-point compactification ¯Rn=Rn∪{∞} of Rn,n⩾2 , we characterise the complete...
Abstract. This is a preliminary version of my PhD thesis. In this text we discuss possible ways to g...
We consider extensions of quasiconformal maps and the uniformization theorem to the setting of metri...
We refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometrie...
L'objet principal de cette thèse est l'étude de la dimension conforme Ahlfors régulière d'un espace ...
The Yamabe Problem asks when the conformal class of a compact, Riemannian manifold (M, g) contains a...
AbstractWe prove versions of the Ahlfors–Schwarz lemma for quasiconformal euclidean harmonic functio...
AbstractIn this note we show that a harmonic quasiconformal mapping f=u+iv with respect to the Poinc...
Abstract. We present uniform and pointwise estimates for various ratios of the hyperbolic, quasihype...
Abstract. In this paper, we investigate the concept of (dimension) free quasi-conformality in metric...
Abstract. The Apollonian metric aD of a domain D ⊂ Rn is rarely con-formal. In fact, if it is confor...
The theory of quasiconformal mappings generalizes to higher dimensions the geometric viewpoint in co...
Abstract We prove by elementary means a regularity theorem for quasi-isometries of T ×Rn (where T de...
We study metric spaces defined via a conformal weight, or more generally a measurable Finsler struct...
We prove that the every quasi-isometry of Teichmüller space equipped with the Teichmüller metric i...
For a domain G in the one-point compactification ¯Rn=Rn∪{∞} of Rn,n⩾2 , we characterise the complete...
Abstract. This is a preliminary version of my PhD thesis. In this text we discuss possible ways to g...
We consider extensions of quasiconformal maps and the uniformization theorem to the setting of metri...
We refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometrie...
L'objet principal de cette thèse est l'étude de la dimension conforme Ahlfors régulière d'un espace ...
The Yamabe Problem asks when the conformal class of a compact, Riemannian manifold (M, g) contains a...
AbstractWe prove versions of the Ahlfors–Schwarz lemma for quasiconformal euclidean harmonic functio...
AbstractIn this note we show that a harmonic quasiconformal mapping f=u+iv with respect to the Poinc...
Abstract. We present uniform and pointwise estimates for various ratios of the hyperbolic, quasihype...