46 citations · 76 across the 35 of their papers we have counts for
5 papers · 1 filter
Ruh-Vilms Theorems For Minimal Surfaces Without Complex Points and Minimal Lagrangian Surfaces in
Josef F. Dorfmeister, Shimpei Kobayashi, Hui Ma
In this paper we investigate surfaces in without complex points and characterize the minimal surfaces without complex points and the minimal Lagrangian surfaces by…
Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space
Josef F. Dorfmesiter, Shimpei Kobayashi
It has been known for some time that there exist essentially different real forms of the complex affine Kac-Moody algebra of type and that one can associate of…
Minimal surfaces with non-trivial topology in the three-dimensional Heisenberg group
Josef F. Dorfmeister, Jun-ichi Inoguchi, Shimpei Kobayashi
We study symmetric minimal surfaces in the three-dimensional Heisenberg group using the generalized Weierstrass type representation, the so-called loop group metho…
Survey on real forms of the complex -Toda equation and surface theory
Josef F. Dorfmeister, Walter Freyn, Shimpei Kobayashi +1
The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Lie groups states that the Maurer-Cartan form with an additional parameter, the so…
General-affine invariants of plane curves and space curves
Shimpei Kobayashi, Takeshi Sasaki
We present a fundamental theory of curves in the affine plane and the affine space, equipped with the general-affine groups and $…