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  1. Annali di Matematica Pura ed Applicata
  2. Annali di Matematica Pura ed Applicata : Volume 194
  3. Annali di Matematica Pura ed Applicata : Volume 194, Issue 6, December 2015
  4. A class of superconformal surfaces
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Annali di Matematica Pura ed Applicata : Volume 196
Annali di Matematica Pura ed Applicata : Volume 195
Annali di Matematica Pura ed Applicata : Volume 194
Annali di Matematica Pura ed Applicata : Volume 194, Issue 6, December 2015
Multi-bump solutions for a class of quasilinear problems involving variable exponents
When does the heat equation have a solution with a sequence of similar level sets?
A class of superconformal surfaces
Homogenization of unbounded integrals with quasiconvex growth
Asymptotic analysis for radial sign-changing solutions of the Brezis–Nirenberg problem
Sampling and reconstruction in shift-invariant spaces on $$\mathbb {R}^d$$
Mathematical treatment of the homogeneous Boltzmann equation for Maxwellian molecules in the presence of singular kernels
A quasilinear elliptic system with natural growth terms
Paley–Wiener theorems for the $${\text {U}(n)}$$ -spherical transform on the Heisenberg group
On the length of finite factorized groups
Commutativity of Cho and structure Jacobi operators of a real hypersurface in a complex projective space
H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces
Constructions of $$H_r$$ -hypersurfaces, barriers and Alexandrov theorem in $$\mathrm{I\!H}^n\times \mathrm{I\!R}$$
Higher-order functional inequalities related to the clamped 1-biharmonic operator
Sobolev and isoperimetric inequalities for submanifolds in weighted ambient spaces
Annali di Matematica Pura ed Applicata : Volume 194, Issue 5, October 2015
Annali di Matematica Pura ed Applicata : Volume 194, Issue 4, August 2015
Annali di Matematica Pura ed Applicata : Volume 194, Issue 3, June 2015
Annali di Matematica Pura ed Applicata : Volume 194, Issue 2, April 2015
Annali di Matematica Pura ed Applicata : Volume 194, Issue 1, February 2015
Annali di Matematica Pura ed Applicata : Volume 193
Annali di Matematica Pura ed Applicata : Volume 192
Annali di Matematica Pura ed Applicata : Volume 191
Annali di Matematica Pura ed Applicata : Volume 190
Annali di Matematica Pura ed Applicata : Volume 189
Annali di Matematica Pura ed Applicata : Volume 188
Annali di Matematica Pura ed Applicata : Volume 187
Annali di Matematica Pura ed Applicata : Volume 186
Annali di Matematica Pura ed Applicata : Volume 185
Annali di Matematica Pura ed Applicata : Volume 184
Annali di Matematica Pura ed Applicata : Volume 183
Annali di Matematica Pura ed Applicata : Volume 182
Annali di Matematica Pura ed Applicata : Volume 181
Annali di Matematica Pura ed Applicata : Volume 180
Annali di Matematica Pura ed Applicata : Volume 179
Annali di Matematica Pura ed Applicata : Volume 178
Annali di Matematica Pura ed Applicata : Volume 177
Annali di Matematica Pura ed Applicata : Volume 176
Annali di Matematica Pura ed Applicata : Volume 175
Annali di Matematica Pura ed Applicata : Volume 174
Annali di Matematica Pura ed Applicata : Volume 173
Annali di Matematica Pura ed Applicata : Volume 172

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A class of superconformal surfaces

Content Provider SpringerLink
Author Vlachos, Th. Dajczer, M.
Copyright Year 2014
Abstract 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 $$2$$ -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 $$2$$ -isotropic surfaces admit a Weierstrass-type representation.
Ending Page 1618
Page Count 12
Starting Page 1607
File Format PDF
ISSN 03733114
e-ISSN 16181891
Journal Annali di Matematica Pura ed Applicata
Issue Number 6
Volume Number 194
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2014-06-21
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Immersions (minimal, prescribed curvature, tight, etc.) Ellipse of curvature Superconformal surface Pedal surface Higher-dimensional and -codimensional surfaces in Euclidean $n$ -space s-Isotropic surface Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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