scholarly journals A characterization of constant mean curvature surfaces in homogeneous 3-manifolds

2007 ◽  
Vol 25 (3) ◽  
pp. 281-289 ◽  
Author(s):  
Isabel Fernández ◽  
Pablo Mira
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Constant Mean Curvature Surfaces

scholarly journals Unitarization of Loop Group Representations of Fundamental Groups

2007 ◽  
Vol 187 ◽  
pp. 1-33 ◽  
Author(s):  
Josef Dorfmeister ◽  
Hongyou Wu
Keyword(s):  
Fundamental Group ◽  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Loop Group ◽  
Fundamental Groups ◽  
Matrix Functions ◽  
Group Representations ◽  
Constant Mean Curvature Surfaces ◽  
Finite Set

AbstractIn this paper, we give a characterization of the simultaneous unitarizability of any finite set of SL(2, ℂ)-valued functions on and determine all possible ways of the unitarization. Such matrix functions can be regarded as images of the generators for the fundamental group of a surface in an -family, and the results of this paper have applications in the construction of constant mean curvature surfaces in space.

scholarly journals Biharmonic constant mean curvature surfaces in Killing submersions

2018 ◽  
Vol 133 ◽  
pp. 91-101
Author(s):  
Stefano Montaldo ◽  
Irene I. Onnis ◽  
Apoena Passos Passamani
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Constant Mean Curvature Surfaces
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