ellipse of curvature
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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.

Totally Real Minimal Surfaces with Non-Circular Ellipse of Curvature in the Nearly Kähler S 6

1997 ◽  
Vol 56 (3) ◽  
pp. 625-644 ◽  
Author(s):  
John Bolton ◽  
Luc Vrancken ◽  
Lyndon M. Woodward
Keyword(s):  
Minimal Surfaces ◽  
Nearly Kähler ◽  
Ellipse Of Curvature ◽  
Totally Real
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