scholarly journals A singular local minimizer for the volume- constrained minimal surface problem in a nonconvex domain

2018 ◽  
Vol 146 (12) ◽  
pp. 5141-5146 ◽  
Author(s):  
Peter Sternberg ◽  
Kevin Zumbrun
Keyword(s):  
Minimal Surface ◽  
Local Minimizer ◽  
Nonconvex Domain

Visualization of Enneper’s surface by line graphics

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 387-405 ◽  
Author(s):  
Vesna Velickovic
Keyword(s):  
Minimal Surface ◽  
Graphical Representations ◽  
Lines Of Curvature ◽  
Geodesic Lines

Here we study Enneper?s minimal surface and some of its properties. We compute and visualize the lines of self-intersection, lines of intersections with planes, lines of curvature, asymptotic and geodesic lines of Enneper?s surface. For the graphical representations of all the results we use our own software for line graphics.

Binding of Alkenes and Ionic Liquids to B–H-Functionalized Boron Nanoparticles: Creation of Particles with Controlled Dispersibility and Minimal Surface Oxidation

2015 ◽  
Vol 7 (18) ◽  
pp. 9991-10003 ◽  
Author(s):  
Jesus Paulo L. Perez ◽  
Jiang Yu ◽  
Anna J. Sheppard ◽  
Steven D. Chambreau ◽  
Ghanshyam L. Vaghjiani ◽  
...  
Keyword(s):  
Ionic Liquids ◽  
Minimal Surface ◽  
Surface Oxidation

scholarly journals From surfaces in the 5-sphere to 3-manifolds in complex projective 3-space

2002 ◽  
Vol 66 (3) ◽  
pp. 465-475 ◽  
Author(s):  
J. Bolton ◽  
C. Scharlach ◽  
L. Vrancken
Keyword(s):  
Projective Space ◽  
Minimal Surface ◽  
Complex Projective Space ◽  
Lagrangian Submanifold ◽  
3 Dimensional ◽  
Ellipse Of Curvature ◽  
Complex Projective

In a previous paper it was shown how to associate with a Lagrangian submanifold satisfying Chen's equality in 3-dimensional complex projective space, a minimal surface in the 5-sphere with ellipse of curvature a circle. In this paper we focus on the reverse construction.

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