n-Dimensional helicoidal surfaces in Euclidean space Em

1987 ◽  
Vol 41 (4) ◽  
pp. 308-312
Author(s):  
V. T. Lisitsa
Keyword(s):  
Euclidean Space ◽  
Surfaces In Euclidean Space ◽  
Helicoidal Surfaces

scholarly journals Constructions of Helicoidal Surfaces in Euclidean Space with Density

Symmetry ◽  
2017 ◽  
Vol 9 (9) ◽  
pp. 173 ◽  
Author(s):  
Dae Yoon ◽  
Dong-Soo Kim ◽  
Young Kim ◽  
Jae Lee
Keyword(s):  
Euclidean Space ◽  
Surfaces In Euclidean Space ◽  
Helicoidal Surfaces

scholarly journals On the geometry of the Painlevé V equation and a Bäcklund transformation

2002 ◽  
Vol 44 (1) ◽  
pp. 141-148 ◽  
Author(s):  
W. K. Schief
Keyword(s):  
Euclidean Space ◽  
Bäcklund Transformation ◽  
Backlund Transformation ◽  
Surfaces In Euclidean Space ◽  
Helicoidal Surfaces

AbstractIt is shown that an integrable class of helicoidal surfaces in Euclidean space E3 is governed by the Painlevé V equation with four arbitrary parameters. A connection with sphere congruences is exploited to construct in a purely geometric manner an associated Bäcklund transformation.

Surfaces in Euclidean space

2009 ◽  
pp. 31-65
Author(s):  
Sebastián Montiel ◽  
Antonio Ros
Keyword(s):  
Euclidean Space ◽  
Surfaces In Euclidean Space

scholarly journals TRANSLATION AND HOMOTHETICAL SURFACES IN EUCLIDEAN SPACE WITH CONSTANT CURVATURE

2015 ◽  
Vol 52 (3) ◽  
pp. 523-535 ◽  
Author(s):  
Rafael Lopez ◽  
Marilena Moruz
Keyword(s):  
Euclidean Space ◽  
Constant Curvature ◽  
Surfaces In Euclidean Space

scholarly journals Construction of constant mean curvature n-noids using the DPW method

2020 ◽  
Vol 2020 (763) ◽  
pp. 223-249 ◽  
Author(s):  
Martin Traizet
Keyword(s):  
Euclidean Space ◽  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Genus Zero ◽  
Constant Mean Curvature Surfaces ◽  
Surfaces In Euclidean Space

AbstractWe construct constant mean curvature surfaces in euclidean space with genus zero and n ends asymptotic to Delaunay surfaces using the DPW method.

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