caa a22 4500 605496153 CHVBK 20210128100535.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10231-014-0436-0 doi (NATIONALLICENCE)springer-10.1007/s10231-014-0436-0 A class of superconformal surfaces [Elektronische Daten] [M. Dajczer, Th. Vlachos] Superconformal surfaces in Euclidean space are the one for which the ellipse of curvature at any point is a nondegenerate circle. They can be characterized as the surfaces for which a well-known pointwise inequality relating the intrinsic Gauss curvature with the extrinsic normal and mean curvatures, due to Wintgen (C R Acad Sci Paris T Ser A 288:993-995, 1979) and Guadalupe-Rodríguez (Pac J Math 106:95-103, 1983) for any codimension, reaches equality at all points. In this paper, we show that any pedal surface to a $$2$$ 2 -isotropic Euclidean surface is superconformal. Opposed to almost all known examples, superconformal surfaces in this class are not conformally equivalent to minimal surfaces. Moreover, they can be given in an explicit parametric form since $$2$$ 2 -isotropic surfaces admit a Weierstrass-type representation. Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 Superconformal surface nationallicence Ellipse of curvature nationallicence Pedal surface nationallicence s-Isotropic surface nationallicence Dajczer M. IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, Brazil aut Vlachos Th Mathematics Department, University of Ioannina, 45110, Ioannina, Greece aut Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/6(2015-12-01), 1607-1618 0373-3114 194:6<1607 2015 194 10231 https://doi.org/10.1007/s10231-014-0436-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10231-014-0436-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dajczer M. IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, Brazil aut NATIONALLICENCE 700 1- Vlachos Th Mathematics Department, University of Ioannina, 45110, Ioannina, Greece aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/6(2015-12-01), 1607-1618 0373-3114 194:6<1607 2015 194 10231