activity
20202025
most citedThe relative isoperimetric inequality for minimal submanifolds with free boundary in the Euclidean space

6 citations · 9 across the 8 of their papers we have counts for

collaborators

9 papers

math.AP2025

Super-Liouville equation with a spinorial Yamabe type term

Lei Liu, Mingjun Wei

In this paper, we study the super-Liouville equation with a spinorial Yamabe type term, a natural generalization of Liouville equation, super-Liouville equation and spinorial Yamab…

math.DS2025

Finite energy foliations and global dynamics in the restricted three-body problem

Lei Liu, Pedro A. S. Salomão

We establish a general criterion for the existence of finite energy foliations on contact three-manifolds with boundary, imposing strong global constraints on the associated Reeb f…

gr-qc2025

Gravitational lensing of the wormhole in the Eddington-inspired Born-Infeld spacetime with a cosmic string

Xin-Fei Li, Lei-Hua Liu, Yan-Zhi Meng +2

In this work we study gravitational lensing of the wormhole in the Eddington-inspired Born-Infeld (EiBI) spacetime that incorporates with a cosmic string. It was found that the pre…

math.DS2025

Non-resonant Hopf Links Near a Hamiltonian Equilibrium Point

C. Grotta-Ragazzo, Lei Liu, Pedro A. S. Salomão

This paper is about the existence of periodic orbits near an equilibrium point of a two-degree-of-freedom Hamiltonian system. The equilibrium is supposed to be a nondegenerate mini…

gr-qc2025

Slowly rotating black hole in chiral scalar-tensor theory

Ze-Kai Yu, Lei Liu, Tao Zhu

The chiral scalar-tensor theory is an extension of the Chern-Simons modified gravity by introducing couplings between the first and second derivatives of the scalar field and parit…

nlin.PS2024★ 3 cited

Asymptotic behaviors and dynamics of degenerate and mixed solitons for the coupled Hirota system with strong coherent coupling effects

Zhong Du, Mingke Qin, Lei Liu

In this work, we study the asymptotic behaviors and dynamics of degenerate and mixed solitons for the coupled Hirota system with strong coherent coupling effects in the isotropic n…

hep-th2024

Correlators for pseudo Hermitian systems

Yao Bai, Ting-Long Feng, Suro Kim +4

Pseudo-Hermitian system is a class of non-Hermitian system with Hamiltonian satisfying the condition . We develop the in-in and Schwinger Keldysh formalism to c…

math.DS2024

On the Sundman-Sperling estimates for the restricted one-center-two-body problem

Ku-Jung Hsu, Lei Liu

In the past two decades, since the discovery of the figure-8 orbit by Chenciner and Montgomery, the variational method has became one of the most popular tools for constructing new…

math.DG2020★ 6 cited

The relative isoperimetric inequality for minimal submanifolds with free boundary in the Euclidean space

Lei Liu, Guofang Wang, Liangjun Weng

In this paper, we mainly consider the relative isoperimetric inequalities for minimal submanifolds with free boundary. We first generalize ideas of restricted normal cones introduc…