scholarly journals <i>S</i><sup>1</sup>-Equivariant CMC Surfaces in the Berger Sphere and the Corresponding Lagrangians

2013 ◽  
Vol 03 (02) ◽  
pp. 259-263 ◽  
Author(s):  
Keiichi Kikuchi
Keyword(s):  
Cmc Surfaces ◽  
Berger Sphere

Rigidity of cmc surfaces in the Berger sphere

2015 ◽  
Vol 104 (3) ◽  
pp. 289-300
Author(s):  
Ningwei Cui ◽  
José N. V. Gomes
Keyword(s):  
Cmc Surfaces ◽  
Berger Sphere

scholarly journals On Hawking mass and Bartnik mass of CMC surfaces

2020 ◽  
Vol 27 (3) ◽  
pp. 855-885
Author(s):  
Pengzi Miao ◽  
Yaohua Wang ◽  
Naqing Xie
Keyword(s):  
Cmc Surfaces

scholarly journals Constant Mean Curvature Surfaces Based on Fundamental Quadrilaterals

2021 ◽  
Vol 24 (4) ◽  
Author(s):  
Alexander I. Bobenko ◽  
Sebastian Heller ◽  
Nick Schmitt
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Weierstrass Representation ◽  
Geometric Flow ◽  
Constant Mean Curvature Surfaces ◽  
Cmc Surfaces

AbstractWe describe the construction of CMC surfaces with symmetries in $\mathbb {S}^{3}$ S 3 and $\mathbb {R}^{3}$ ℝ 3 using a CMC quadrilateral in a fundamental tetrahedron of a tessellation of the space. The fundamental piece is constructed by the generalized Weierstrass representation using a geometric flow on the space of potentials.

Sign in / Sign up

Export Citation Format

Share Document