This work consists of two parts. In Part I, we shall give a systematic study of Lorentz
conformal structure from structural viewpoints. We study manifolds with split-complex …

This paper, the third in a series, completes our description of all (radial) solutions on C^* C∗
of the tt*-Toda equations 2 (w_i) _ t ̄ t=-e^ 2 (w_ i+ 1-w_ i)+ e^ 2 (w_ i-w_ i-1) 2 (wi) tt¯=-e 2 …

In previous articles we have studied the A_n tt*-Toda equations (topological-antitopological
fusion equations of Toda type) of Cecotti and Vafa, giving details mainly for n= 3. Here we …

We give an infinite dimensional generalized Weierstrass representation for spacelike
constant mean curvature (CMC) surfaces in Minkowski 3-space R2, 1. The formulation is …

arXiv:0709.3466v2 [math.GR] 26 Jun 2009 Iwasawa decompositions of split Kac–Moody groups
Page 1 arXiv:0709.3466v2 [math.GR] 26 Jun 2009 Iwasawa decompositions of split Kac–Moody …

The classical Weierstrafi representation has been a very useful tool for the construction and
the investigation of minimal surfaces in~ 3. While· the differential equation describing these …

We propose a Lie-theoretic definition of the tt*-Toda equations for any complex simple Lie
algebra gg, based on the concept of topological–antitopological fusion which was …

We set up an abstract framework that allows the investigation of Iwasawa decompositions for
involutive infinite-dimensional Lie groups modeled on Banach spaces. This provides a …

In the past decades, the authors made some systematic research on global and local
properties of Willmore surfaces in terms of the DPW method. In this note we give a survey …

The paper builds a DPW approach of Willmore surfaces via conformal Gauss maps. As
applications, we provide descriptions of minimal surfaces in R^ n+ 2 R n+ 2, isotropic …