159 citations · 725 across the 78 of their papers we have counts for
55 papers · 1 filter
Almost isoclinic Lagrangian submanifolds
Tang-Kai Lee, Mu-Tao Wang
We introduce the almost isoclinic region in the oriented Lagrangian Grassmannian of , an intrinsic higher-dimensional analog of a natural convex regi…
Mean Curvature Flows of Two-Convex Lagrangians
Chung-Jun Tsai, Mao-Pei Tsui, Mu-Tao Wang
We prove regularity, global existence, and convergence of Lagrangian mean curvature flows in the two-convex case. Such results were previously only known in the convex case, of whi…
A New Monotone Quantity in Mean Curvature Flow Implying Sharp Homotopic Criteria
Chung-Jun Tsai, Mao-Pei Tsui, Mu-Tao Wang
A new monotone quantity in graphical mean curvature flows of higher codimensions is identified in this work. The submanifold deformed by the mean curvature flow is the graph of a m…
The Minkowski formula and the quasi-local mass
Po-Ning Chen, Mu-Tao Wang, Shing-Tung Yau
In this article, we estimate the quasi-local energy with reference to the Minkowski spacetime [16,17], the anti-de Sitter spacetime [4], or the Schwarzschild spacetime [3]. In each…
Global uniqueness of the minimal sphere in the Atiyah-Hitchin manifold
Chung-Jun Tsai, Mu-Tao Wang
In this note, we study submanifold geometry of the Atiyah-Hitchin manifold, the double cover of the -monopole moduli space. When the manifold is naturally identified as the tota…
A strong stability condition on minimal submanifolds and its implications
Chung-Jun Tsai, Mu-Tao Wang
We identify a strong stability condition on minimal submanifolds that implies uniqueness and dynamical stability properties. In particular, we prove a uniqueness theorem and a C^1…