8 citations · 29 across the 11 of their papers we have counts for
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Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime
Kuo-Wei Lee, Yng-Ing Lee
We first summarize the characterization of smooth spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in the Schwarzschild spacetime and Kruskal extensio…
The Stability of Self-Shrinkers of Mean Curvature Flow in Higher Codimension
Yng-Ing Lee, Yang-Kai Lue
In this paper, we generalize Colding and Minicozzi's work \cite{CM} on the stability of self-shrinkers in the hypersurface case to higher co-dimensional cases. The first and second…
Spacelike spherically symmetric CMC hypersurfaces in Schwarzschild spacetimes (I): Construction
Kuo-Wei Lee, Yng-Ing Lee
We solve spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in Schwarzschild spacetimes and analyze their asymptotic behavior near the coordinate singul…
Generalized -harmonic Equation and The Inverse Mean Curvature Flow
Yng-Ing Lee, Ai-Nung Wang, Shihshu Walter Wei
We introduce and study generalized -harmonic equations (1.1). Using some ideas and techniques in studying -harmonic functions from [W1] (2007), and in studying nonhomogeneous…
The existence of Hamiltonian stationary Lagrangian tori in Kahler manifolds of any dimension
Yng-Ing Lee
Hamiltonian stationary Lagrangians are Lagrangian submanifolds that are critical points of the volume functional under Hamiltonian deformations. They can be considered as a general…
On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds
Dominic Joyce, Yng-Ing Lee, Richard Schoen
Let (M,w) be a compact symplectic 2n-manifold, and g a Riemannian metric on M compatible with w. For instance, g could be Kahler, with Kahler form w. Consider compact Lagrangian su…