Harmonic maps into singular spaces and -adic superrigidity for lattices in groups of rank one
On the Existence of Harmonic Diffeomorphisms Between Surfaces.
Regularity of minimizing harmonic maps into the sphere.
On Univalent Harmonic Maps Between Surfaces.
The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature.
Harmonic Maps and the Topology of Stable Hypersurfaces and Manifolds with Non-negative Ricci Curvature
On the isoperimetric inequality for minimal surfaces
The spacetime positive mass theorem in dimensions less than eight
We prove the spacetime positive mass theorem in dimensions less than eight. This theorem asserts that for any asymptotically flat initial data set that satisfies the dominant energy condition, the inequality holds, where is the ADM energy-momentum vector. Previously, this theorem was only known for spin manifolds [38]. Our approach is a modification of the minimal hypersurface technique that was used by the last named author and S.-T. Yau to establish the time-symmetric case of this theorem...
Page 1