7 papers · 1 filter
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…
The Willmore problem for surfaces with symmetry
Rob Kusner, Ying Lü, Peng Wang
The Willmore Problem seeks closed surfaces in of a given topological type minimizing the squared-mean-curvature energy $W = \int |H_{\mathbb{R}^4}…
Harmonic maps of finite uniton number into inner symmetric spaces via based normalized extended frames
Josef F. Dorfmeister, Peng Wang
In this paper, we develop a loop group description of harmonic maps of finite uniton number, from a Riemann surface compact or non-compact, in…
Algebraic Harmonic Maps, Totally Symmetric Harmonic Maps and a Conjecture
Josef F. Dorfmeister, Peng Wang
In this paper, we discuss the associated family of harmonic maps from a Riemann surface into inner symmetric spaces of compact or non-compact t…
Equivariant primitive harmonic maps into symmetric spaces, with applications to Willmore surfaces
Josef F. Dorfmeister, Peng Wang
In this note we discuss the construction of equivariant primitive harmonic maps into symmetric spaces and give many applications to the construction of Willmore surfaces. In pa…
On the index of minimal hypersurfaces in with
Hang Chen, Peng Wang
In this paper, we prove that a closed minimal hypersurface in $\SSS$ with has Morse index at least , providing a partial answer to a conjecture of Perdomo. As a coroll…
Willmore surfaces in spheres via loop groups: a survey
Josef F. Dorfmeister, Peng Wang
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, mainly…