44 citations · 117 across the 31 of their papers we have counts for
31 papers
On Hamiltonian stationarity of twisted Lagrangian tori in
Jingyi Chen, Patrik Coulibaly
Chekanov's exotic tori have been playing an important role in symplectic geometry as they are the only known examples of Lagrangian tori in that are not Hamiltonia…
Holomorphic disks with boundary on compact Lagrangian surface
Jingyi Chen
Let be a compact oriented Lagrangian surface in a Kähler surface endowed with a complete Riemannian metric (compatible with the symplectic structure and the complex structure)…
Prescribing positive curvature with conical singularities on
Jingyi Chen, Yuxiang Li, Yunqing Wu
For conformal metrics with conical singularities and positive curvature on , we prove a convergence theorem and apply it to obtain a criterion for nonexistence in an o…
Prescribing negative curvature with cusps and conical singularities on compact surface
Jingyi Chen, Yuxiang Li, Yunqing Wu
On a compact surface, we prove existence and uniqueness of the conformal metric whose curvature is prescribed by a negative function away from finitely many points where the metric…
A Geometric flow towards hamiltonian stationary submanifolds
Jingyi Chen, Micah Warren
In this paper, we introduce a geometric flow for Lagrangian submanifolds in a Kähler manifold that stays in its initial Hamiltonian isotopy class and is a gradient flow for volume.…
Compactness of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds
Jingyi Chen, John Man Shun Ma
In this work, we prove a compactness theorem on the space of all Hamiltonian stationay Lagrangian submanifolds in a compact symplectic manifold with uniform bounds on area and tota…