46 citations · 76 across the 35 of their papers we have counts for
36 papers
Minimal Lagrangian surfaces in the two-dimensional complex hyperbolic quadric via the loop group method
Shimpei Kobayashi, Sihao Zeng
We study minimal Lagrangian surfaces in the complex hyperbolic quadric. We show that minimality of a Lagrangian surface is characterized by a loop of flat connections, which yields…
Two classes of Willmore Surfaces in
Xiaoling Chai, Shimpei Kobayashi, Changping Wang +1
We establish two classification theorems for Willmore surfaces in . Firstly, we prove that a Willmore surface which is also minimal must be either…
Minimal Lagrangian surfaces in the two dimensional complex quadric via the loop group method
Shimpei Kobayashi, Sihao Zeng
We develop a loop group (DPW-type) representation for minimal Lagrangian surfaces in the complex quadric , formulated via a flat famil…
A duality for minimal surfaces in the Heisenberg group
Shimpei Kobayashi
We introduce and study the notion of a transformation surface associated with a nowhere-vertical minimal surface in the three-dimensional Heisenberg group, and prove its minimality…
The evolution of a curve induced by the Pohlmeyer-Lund-Regge equation
Shimpei Kobayashi, Yuhei Kogo, Nozomu Matsuura
This paper investigates the evolution of space curves governed by the Pohlmeyer-Lund-Regge (PLR) equation, an integrable extension of the sine-Gordon equation. We examine a specifi…
Gauss maps of Möbius surfaces in the -dimensional sphere
David Brander, Shimpei Kobayashi, Peng Wang
In this note we discuss Gauss maps for Möbius surfaces in the -sphere, and their applications in the study of Willmore surfaces. One such ``Gauss map'', naturally associated to…