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math.DG2015
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…
math.DG2015★ 2 cited
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…