8 citations · 29 across the 22 of their papers we have counts for
10 papers · 1 filter
The fence conjecture for convex projective polygons
Erxiao Wang
We prove the fence conjecture of Dumas and Wolf: for a convex projective polygon with at least five vertices, every zero of the Pick differential lies in the interior of the region…
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…
Projective loops generate rational loop groups
Gang Wang, Oliver Goertsches, Erxiao Wang
Rational loops played a central role in Uhlenbeck's construction of harmonic maps into U(n) (chiral model in physics), and they are generated by simple elements with one pole and o…
The associated families of semi-homogeneous complete hyperbolic affine spheres
Zhicheng Lin, Erxiao Wang
Hildebrand classified all semi-homogeneous cones in and computed their corresponding complete hyperbolic affine spheres. We compute isothermal parametrizations for H…
Lagrangian Bonnet pairs in complex space forms
Huixia He, Hui Ma, Erxiao Wang
In this paper we first give a Bonnet theorem for conformal Lagrangian surfaces in complex space forms, then we show that any compact Lagrangian surface in the complex space form ad…
Dressing Actions on Proper Definite Affine Spheres
Zhicheng Lin, Gang Wang, Erxiao Wang
We will first clarify the loop group formulations for both hyperbolic and elliptic definite affine spheres in R^3. Then we classify the rational elements with 3 poles or 6 poles in…
Transformations of flat Lagrangian immersions and Egoroff nets
Chuu-Lian Terng, Erxiao Wang
We associate a natural -family () of flat Lagrangian immersions in $\C^n$ with non-degenerate normal bundle to any given one. We prove that the structu…
Tzitzéica transformation is a dressing action
Erxiao Wang
We classify the simplest rational elements in a twisted loop group, and prove that dressing actions of them on proper indefinite affine spheres give the classical Tzitzéica transfo…
Associative Cones and Integrable Systems
Shengli Kong, Erxiao Wang, Chuu-Lian Terng
We identify R^7 as the pure imaginary part of octonions. Then the multiplication in octonions gives a natural almost complex structure for the unit 6-sphere. It is known that a con…
Curved flats, exterior differential systems, and conservation laws
Chuu-Lian Terng, Erxiao Wang
Let be an involution of a real semi-simple Lie group , the subgroup fixed by , and the corresponding symmetric space. Ferus and Pedit called a submanifold $…