Geodesic
On the Bernstein Problem in the Three-dimensional Heisenberg Group
Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 50-61

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DOI

In this note we present a simple alternative proof for the Bernstein problem in the three dimensional Heisenberg group $\text{Ni}{{\text{l}}_{3}}$ by using the loop group technique. We clarify the geometric meaning of the two-parameter ambiguity of entire minimal graphs with prescribed Abresch-Rosenberg differential.
DOI : 10.4153/CMB-2015-061-3
Mots-clés : 53A10, 53C42, Bernstein problem, minimal graphs, Heisenberg group, loop groups, spinors 
Dorfmeister, Josef F.; Inoguchi, Jun-ichi; Kobayashi, Shimpei. On the Bernstein Problem in the Three-dimensional Heisenberg Group. Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 50-61. doi: 10.4153/CMB-2015-061-3
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     title = {On the {Bernstein} {Problem} in the {Three-dimensional} {Heisenberg} {Group}},
     journal = {Canadian mathematical bulletin},
     pages = {50--61},
     year = {2016},
     volume = {59},
     number = {1},
     doi = {10.4153/CMB-2015-061-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-061-3/}
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