16 citations · 21 across the 11 of their papers we have counts for
13 papers
On the Willmore energy of flat -tori in and Chen's conjecture for -tori
Ruijie Ni, Peng Wang, Zhenxiao Xie
This paper establishes the sharp lower bound for the Willmore energy of flat -tori in the Euclidean space. Up to Möbius transformations, the Cliffo…
A proof of the Willmore-type conjecture in
Peng Wang, Zhenxiao Xie, Chen Zhao
In 2002, Montiel and Urbano conjectured that the Clifford torus in minimizes the Willmore-type functional either among all…
On the first eigenvalue of the area Jacobi operator for complex curves in Kähler surfaces
Zhenxiao Xie
In this paper, we investigate the first eigenvalue of the area Jacobi operator for complex curves in Kähler surfaces, establishing an extrinsic counterpart to the classical L…
Two classes of Willmore Surfaces in
Xiaoling Chai, Shimpei Kobayashi, Changping Wang +1
We establish two classification theorems for Willmore surfaces in . Firstly, we prove that a Willmore surface which is also minimal must be either…
Convergence Analysis of a Stochastic Interacting Particle-Field Algorithm for 3D Parabolic-Parabolic Keller-Segel Systems
Boyi Hu, Zhongjian Wang, Jack Xin +1
Chemotaxis models describe the movement of organisms in response to chemical gradients. In this paper, we present a stochastic interacting particle-field algorithm with a random ba…
Willmore surfaces in 4-dimensional conformal manifolds
Changping Wang, Zhenxiao Xie
This paper is dedicated to the exploration of the conformal Willmore functional for surfaces within 4-dimensional conformal manifolds. We provide a detailed calculation of both the…