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math.DG2015★ 1 cited
Nonlinear d'Alembert formula for discrete pseudospherical surfaces
Shimpei Kobayashi
On the basis of loop group decompositions (Birkhoff decompositions), we give a discrete version of the nonlinear d'Alembert formula, a method of separation of variables of differen…
math.DG2015★ 1 cited
A solution to the Bernstein problem in the three-dimensional Heisenberg group via loop groups
Josef F. Dorfmeister, Jun-ichi Inoguchi, Shimpei Kobayashi
In this note we present a short alternative proof for the Bernstein problem in the three-dimensional Heisenberg group by using the loop group technique.