Peng Wang

activity

20242026

collaborators

Showing 2026Show all

4 papers · 1 filter

math.DG2026

On the Willmore energy of flat $n$ -tori in $R^{N}$ and Chen's conjecture for $n$ -tori

Ruijie Ni, Peng Wang, Zhenxiao Xie

This paper establishes the sharp lower bound $(4 n π^{2})^{n /2}$ for the Willmore energy $W$ of flat $n$ -tori in the Euclidean space. Up to Möbius transformations, the Cliffo…

math.DG2026

A proof of the Willmore-type conjecture in $C P^{2}$

Peng Wang, Zhenxiao Xie, Chen Zhao

In 2002, Montiel and Urbano conjectured that the Clifford torus in $C P^{2}$ minimizes the Willmore-type functional $W^{-} = \int_{T^{2}} (2 + ∣ H ∣^{2}) d A,$ either among all…

math.DG2026

The isoperimetric inequality and CMC hypersurfaces in Cartan-Hadamard manifolds

Shibing Chen, Mohammad Ghomi, Peng Wang

We show that the sharp Euclidean isoperimetric inequality holds for domains in complete simply connected Riemannian $n$ -manifolds of nonpositive sectional curvature, $3 \leq n \leq 9$ …

math.DG2026

The Cartan-Hadamard conjecture in dimension five

Shibing Chen, Mohammad Ghomi, Peng Wang

We show that the sharp Euclidean isoperimetric inequality holds for domains in complete simply connected Riemannian $5$ -manifolds of nonpositive sectional curvature, which establis…

On the Willmore energy of flat n-tori in RN and Chen's conjecture for n-tori

A proof of the Willmore-type conjecture in CP2

The isoperimetric inequality and CMC hypersurfaces in Cartan-Hadamard manifolds

The Cartan-Hadamard conjecture in dimension five

On the Willmore energy of flat $n$ -tori in $R^{N}$ and Chen's conjecture for $n$ -tori

A proof of the Willmore-type conjecture in $C P^{2}$