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Página principal > Artículos > Artículos publicados > Some remarks about parametrizations of intrinsic regular surfaces in the Heisenberg group |
Fecha: | 2010 |
Resumen: | We prove that, in general, H-regular surfaces in the Heisenberg group H1 are not bi-Lipschitz equivalent to the plane R2 en- dowed with the "parabolic" distance, which instead is the model space for C1 surfaces without characteristic points. In Heisenberg groups Hn, H-regular surfaces can be seen as intrinsic graphs: we show that such parametrizations do not belong to Sobolev classes of metric-space valued maps. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió publicada |
Materia: | Bi-Lipschitz parametrizations ; H-regular surfaces ; Heisenberg group |
Publicado en: | Publicacions matemàtiques, V. 54 n. 1 (2010) p. 159-172, ISSN 2014-4350 |
14 p, 177.1 KB |