activity
20102013
most citedThe global existence of smooth solutions of relativistic string equations in the Schwarzschild space-time

8 citations · 23 across the 6 of their papers we have counts for

collaborators

6 papers

math.DG2013★ 2 cited

On light-like extremal surfaces in curved spacetimes

Shou-Jun Huang, Chun-Lei He

In this paper, we are concerned with light-like extremal surfaces in curved spacetimes. It is interesting to find that under a diffeomorphic transformation of variables, the light-…

math.DG2011★ 1 cited

Generalized Ricci flow I: Local existence and uniqueness

Chun-lei He, Sen Hu, De-Xing Kong +1

In this paper we investigate a kind of generalized Ricci flow which possesses a gradient form. We study the monotonicity of the given function under the generalized Ricci flow and…

math-ph2010★ 2 cited

The motion of relativistic strings in curved space-times

Chun-Lei He, De-Xing Kong

This paper concerns the motion of a relativistic string in a curved space-time. As a general framework, we first analyze relativistic string equations, i.e., the basic equations fo…

math-ph2010★ 7 cited

Harmonic coordinates in the string and membrane equations

Chun-Lei He, Shou-Jun Huang

In this note, we first show that the solutions to Cauchy problems for two versions of relativistic string and membrane equations are diffeomorphic. Then we investigate the coordina…

math.DG2010★ 3 cited

Hyperbolic Mean Curvature Flow

Chun-Lei He, De-Xing Kong, Kefeng Liu

In this paper we introduce the hyperbolic mean curvature flow and prove that the corresponding system of partial differential equations are strictly hyperbolic, and based on this,…

math.AP2010★ 8 cited

The global existence of smooth solutions of relativistic string equations in the Schwarzschild space-time

Chun-Lei He, De-Xing Kong

This paper concerns the motion of relativistic strings in the Schwarzschild space-time. As a general framework, we first analyze the basic equations for the motion of a p-dimension…