Peng Wang

collaborators

5 papers

math.DG2025

Classification of Willmore $2$ -spheres in $S^{n}$

Xiang Ma, Franz Pedit, Peng Wang

This paper resolves a long-standing open problem by providing a classification of Willmore $2$ -spheres in $S^{n}$ . We show that any such $2$ -sphere is either totally isotropic--origi…

math.DG2024

Gauss maps of Möbius surfaces in the $n$ -dimensional sphere

David Brander, Shimpei Kobayashi, Peng Wang

In this note we discuss Gauss maps for Möbius surfaces in the $n$ -sphere, and their applications in the study of Willmore surfaces. One such ``Gauss map'', naturally associated to…

math.DG2024

The Willmore problem for surfaces with symmetry

Rob Kusner, Ying Lü, Peng Wang

The Willmore Problem seeks closed surfaces in $S^{3} \subset R^{4}$ of a given topological type minimizing the squared-mean-curvature energy $W = \int |H_{\mathbb{R}^4}…

math.DG2024

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 $F : M \to G / K$ of finite uniton number, from a Riemann surface $M,$ compact or non-compact, in…

math.DG2024

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 $F : M \to G / K$ from a Riemann surface $M$ into inner symmetric spaces of compact or non-compact t…

Classification of Willmore 2-spheres in Sn

Gauss maps of Möbius surfaces in the n-dimensional sphere

The Willmore problem for surfaces with symmetry

Harmonic maps of finite uniton number into inner symmetric spaces via based normalized extended frames

Algebraic Harmonic Maps, Totally Symmetric Harmonic Maps and a Conjecture

Classification of Willmore $2$ -spheres in $S^{n}$

Gauss maps of Möbius surfaces in the $n$ -dimensional sphere