laguerre minimal surfaces
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2013 ◽  
Vol 92 ◽  
pp. 1-12 ◽  
Author(s):  
Juan A. Aledo ◽  
José A. Gálvez ◽  
Victorino Lozano

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yusuf Abu Muhanna ◽  
Rosihan M. Ali

A Laguerre surface is known to be minimal if and only if its corresponding isotropic map is biharmonic. For every Laguerre surfaceΦis its associated surfaceΨ=1+u2Φ, whereulies in the unit disk. In this paper, the projection of the surfaceΨassociated to a Laguerre minimal surface is shown to be biharmonic. A complete characterization ofΨis obtained under the assumption that the corresponding isotropic map of the Laguerre minimal surface is harmonic. A sufficient and necessary condition is also derived forΨto be a graph. Estimates of the Gaussian curvature to the Laguerre minimal surface are obtained, and several illustrative examples are given.


2012 ◽  
Vol 44 (4) ◽  
pp. 803-813 ◽  
Author(s):  
Rafaela F. do Prado ◽  
Pedro Roitman

2011 ◽  
Vol 272 (1-2) ◽  
pp. 645-674 ◽  
Author(s):  
Mikhail Skopenkov ◽  
Helmut Pottmann ◽  
Philipp Grohs

2008 ◽  
Vol 24 (11) ◽  
pp. 1861-1870 ◽  
Author(s):  
Yu Ping Song ◽  
Chang Ping Wang

2008 ◽  
Vol 31 (4) ◽  
pp. 391-419 ◽  
Author(s):  
Helmut Pottmann ◽  
Philipp Grohs ◽  
Niloy J. Mitra

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