19 citations · 111 across the 30 of their papers we have counts for
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Willmore surfaces in spheres via loop groups IV: on totally isotropic Willmore two-spheres in
Peng Wang
Totally isotropic surfaces in are not necessarily Willmore surfaces. Therefore it is the first goal of this paper to derive a geometric characterization of totally isotropic…
Willmore surfaces in spheres via loop groups III: on minimal surfaces in space forms
Peng Wang
The family of Willmore immersions from a Riemann surface into can be divided naturally into the subfamily of Willmore surfaces conformally equivalent to a minimal surface…
Willmore surfaces in spheres via loop groups II: a coarse classification of Willmore two-spheres by potentials
Peng Wang
Applying the DPW version of the theory developed by Burstall and Guest for harmonic maps of finite uniton type, we derive a coarse classification of Willmore two-spheres in $S^{n+2…
On the Björling problem for Willmore surfaces
David Brander, Peng Wang
We solve the analogue of Björling's problem for Willmore surfaces via a harmonic map representation. For the umbilic-free case the problem and solution are as follows: given a real…
Classification of Willmore 2-spheres in the 5-dimensional sphere
Xiang Ma, Changping Wang, Peng Wang
The classification of Willmore 2-spheres in the -dimensional sphere is a long-standing problem, solved only when by Bryant, Ejiri, Musso and Montiel independently.…
On symmetric Willmore surfaces in spheres II: the orientation reversing case
Josef F. Dorfmeister, Peng Wang
In this paper we provide a systematic treatment of Willmore surfaces with orientation reversing symmetries and illustrate the theory by (old and new) examples. We apply our theory…