Mean curvature flow of surface in 4-manifolds. Adv Math, 2001, 163: 287–309 MATH MathSciNetChen J., Li J.: Mean curvature flow of surface in 4-manifolds. Adv. Math. 163 (2), 287–309 (2001)Chen, J. and Li, J., Mean curvature flow of surfaces in 4-manifolds, Adv. Math. ...
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We introduce Lagrangian mean curvature flow with boundary in Calabi–Yau manifolds by defining a natural mixed Dirichlet-Neumann boundary condition, and prove that under this flow, the Lagrangian condition is preserved. We also study in detail the flow of equivariant Lagrangian discs with boundary on...
摘要: We use holomorphic disks to describe the formation of singularities in the mean curvature flow of monotone Lagrangian submanifolds in ${mathbb{c}}^n$ .关键词: Primary 53C44 DOI: 10.1007/s00209-007-0126-3 被引量: 57 年份: 2007 ...
In this paper, the existence and uniqueness of foliations by constant mean curvature spheres on asymptotically flat manifolds of nonzero ADM mass in all di... R Ye - OAI 被引量: 172发表: 1997年 Mean curvature flow of pinched submanifolds to spheres We consider compact submanifolds of dimensio...
In this paper we summarize the main results of [1], where we develop a level set approach for the description of mean curvature flow of surfaces Γ t of codimension k in R n , generalizing previous works by Evans & Spruck and Chen, Giga & Goto (see [5], [9]) devoted to the evol...
mean_curvature_flow -回复 什么是平均曲率流(mean curvature flow)? 平均曲率流(mean curvature flow)是一种数学模型,用于描述曲面随着时间的演化过程。它是在1982年由数学家Richard Hamilton首次提出的。在平均曲率流的模型中,曲面上的每一点的演化速度与其平均曲率成正比。换句话说,曲面上的每个点都会以一个与...
In fact, equilibrium of mean curvature flow corresponds precisely to minimal surface. Brakke’s mean curvature flow was first introduced in 1978 as a mathematical model describing the motion of grain boundaries in an annealing pure metal. The grain boundaries move by the mean curvature flow while ...
Mean Curvature Flow of Surface in 4-Manifolds We bring together ideas in analysis on Hopf *-algebra actions on II1 subfactors of finite Jones index [9, 24] and algebraic characterizations of Frobenius,... Jingyi,Chen,and,... - 《Advances in Mathematics》 被引量: 176发表: 2001年 ...