Characterization of order 3 algebraic immersed minimal surfaces of S 3

2007 ◽  
Vol 129 (1) ◽  
pp. 23-34 ◽  
Author(s):  
Oscar Mario Perdomo
Keyword(s):  
Minimal Surfaces

scholarly journals A characterization of minimal surfaces in isothermic representation

1951 ◽  
Vol 2 (1) ◽  
pp. 47-47
Author(s):  
Maxwell O. Reade
Keyword(s):  
Minimal Surfaces

scholarly journals Thermal characterization of 3D-Printed lattices based on triply periodic minimal surfaces embedded with organic phase change material

2021 ◽  
pp. 101315
Author(s):  
Zahid Ahmed Qureshi ◽  
Salah Addin Burhan Al Omari ◽  
Emad Elnajjar ◽  
Farooq Mahmoud ◽  
Oraib Al-Ketan ◽  
...  
Keyword(s):  
Phase Change ◽  
Phase Change Material ◽  
Organic Phase ◽  
Minimal Surfaces ◽  
Thermal Characterization ◽  
Triply Periodic Minimal Surfaces ◽  
Triply Periodic ◽  
3D Printed ◽  
Change Material

A homological characterization of foliations consisting of minimal surfaces

1979 ◽  
Vol 54 (1) ◽  
pp. 218-223 ◽  
Author(s):  
Dennis Sullivan
Keyword(s):  
Minimal Surfaces ◽  
Homological Characterization

scholarly journals A characterization of bipolar minimal surfaces in $S^{4}$

1974 ◽  
Vol 26 (4) ◽  
pp. 587-598 ◽  
Author(s):  
Katsuei Kenmotsu
Keyword(s):  
Minimal Surfaces

scholarly journals A characterization of hyperbolic affine flat, affine minimal surfaces in A3

2014 ◽  
Vol 36 ◽  
pp. 134-148
Author(s):  
Jeanne N. Clelland ◽  
Jonah M. Miller
Keyword(s):  
Minimal Surfaces

scholarly journals A characterization of Riemann's minimal surfaces

1997 ◽  
Vol 47 (2) ◽  
pp. 376-397 ◽  
Author(s):  
Francisco J. López ◽  
Manuel Ritoré ◽  
Fusheng Wei
Keyword(s):  
Minimal Surfaces

A CHARACTERIZATION OF THE CATENOID AND HELICOID

2013 ◽  
Vol 24 (06) ◽  
pp. 1350045 ◽  
Author(s):  
CARLOS M. C. RIVEROS ◽  
ARMANDO M. V. CORRO
Keyword(s):  
Minimal Surface ◽  
Minimal Surfaces ◽  
Geodesic Curvature ◽  
Lines Of Curvature ◽  
Asymptotic Lines

In this paper we show that a connected non-planar minimal surface whose asymptotic lines have the same geodesic curvature up to sign is a catenoid. As an application of this result we show that a connected non-planar minimal surface whose lines of curvature have the same geodesic curvature up to sign is a helicoid. Moreover, we show that the coordinates curves of the associate minimal surfaces to catenoid have the same geodesic curvature up to sign.

scholarly journals Biharmonic Maps and Laguerre Minimal Surfaces

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yusuf Abu Muhanna ◽  
Rosihan M. Ali
Keyword(s):  
Minimal Surface ◽  
Gaussian Curvature ◽  
Minimal Surfaces ◽  
Complete Characterization ◽  
Necessary Condition ◽  
Biharmonic Maps ◽  
Laguerre Minimal Surfaces ◽  
Laguerre Minimal Surface ◽  
Sufficient And Necessary Condition

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.

scholarly journals An index characterization of the catenoid and index bounds for minimal surfaces in R4

1988 ◽  
Vol 134 (2) ◽  
pp. 251-260 ◽  
Author(s):  
Shiu-Yuen Cheng ◽  
Johan Tysk
Keyword(s):  
Minimal Surfaces
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