Add to ORKGThe Gibbons-Hawking ansatz provides a large family of circle-invariant hyperkaehler 4-manifolds, and thus Calabi-Yau 2-folds. In this setting, we prove versions of the Thomas conjecture on existence of special Lagrangian representatives of Hamiltonian isotopy classes of Lagrangians, and the Thomas-Yau conjecture on long-time existence of the Lagrangian mean curvature flow. We also make observations concerning closed geodesics, curve shortening flow and minimal surfaces
The focus of this thesis is two equations that arise in special Lagrangian geometry: the degenerate ...
In this expository note we describe important examples of Lagrangian mean curvature flow in $\mathbb...
In mean curvature flow an important class of solutions are the self-expanders, which move simply by ...
In recent years symplectic geometry and symplectic topology have grown to large subbranches in mathe...
We introduce special Lagrangian submanifolds in C^m and in (almost) Calabi-Yau manifolds, and survey...
Let $M$ be a Calabi-Yau $m$-fold, and consider compact, graded Lagrangians $L$ in $M$. Thomas and Ya...
We prove two main results: (a) Suppose $L$ is a closed, embedded, exact special Lagrangian $m$-fol...
Hamiltonian stationary Lagrangian submanifolds (HSLAG) are a natural generalization of special Lagra...
This paper gives a leisurely introduction to Calabi-Yau manifolds and special Lagrangian submanifold...
This is the author accepted manuscript. It is currently under an indefinite embargo pending publicat...
This is a survey on the author's recent work [22] and a pre-report on [23]. We show a method of cons...
I will present the mean curvature flow in Euclidean spaces and the Lagrangian mean curvature flow. ...
We introduce Lagrangian mean curvature flow with boundary in Calabi--Yau manifolds by defining a nat...
第一部分把拉格朗日子流形的幾何和一些已知的結果做一個大略的 簡介,文中特別討論了 Hitchin 對於特殊拉格朗日子流形的模空間結構 的研究結果。 第二部分開始利用均曲率流來研究特殊拉格朗日子流形在卡...
Ancient solutions of Lagrangian mean curvature flow in C^n naturally arise as Type II blow-ups. In t...
The focus of this thesis is two equations that arise in special Lagrangian geometry: the degenerate ...
In this expository note we describe important examples of Lagrangian mean curvature flow in $\mathbb...
In mean curvature flow an important class of solutions are the self-expanders, which move simply by ...
In recent years symplectic geometry and symplectic topology have grown to large subbranches in mathe...
We introduce special Lagrangian submanifolds in C^m and in (almost) Calabi-Yau manifolds, and survey...
Let $M$ be a Calabi-Yau $m$-fold, and consider compact, graded Lagrangians $L$ in $M$. Thomas and Ya...
We prove two main results: (a) Suppose $L$ is a closed, embedded, exact special Lagrangian $m$-fol...
Hamiltonian stationary Lagrangian submanifolds (HSLAG) are a natural generalization of special Lagra...
This paper gives a leisurely introduction to Calabi-Yau manifolds and special Lagrangian submanifold...
This is the author accepted manuscript. It is currently under an indefinite embargo pending publicat...
This is a survey on the author's recent work [22] and a pre-report on [23]. We show a method of cons...
I will present the mean curvature flow in Euclidean spaces and the Lagrangian mean curvature flow. ...
We introduce Lagrangian mean curvature flow with boundary in Calabi--Yau manifolds by defining a nat...
第一部分把拉格朗日子流形的幾何和一些已知的結果做一個大略的 簡介,文中特別討論了 Hitchin 對於特殊拉格朗日子流形的模空間結構 的研究結果。 第二部分開始利用均曲率流來研究特殊拉格朗日子流形在卡...
Ancient solutions of Lagrangian mean curvature flow in C^n naturally arise as Type II blow-ups. In t...
The focus of this thesis is two equations that arise in special Lagrangian geometry: the degenerate ...
In this expository note we describe important examples of Lagrangian mean curvature flow in $\mathbb...
In mean curvature flow an important class of solutions are the self-expanders, which move simply by ...