3 papers
math.DG2026
On the spacetime positive energy theorem in arbitrary dimension
S. Brendle, Y. Wang
We describe how the spacetime positive energy theorem in dimension follows from our recent work on the Riemannian version of the positive mass theorem. Our proof builds…
math.DG2026
A dimension descent scheme for the positive mass theorem in arbitrary dimension
S. Brendle, Y. Wang
We describe how the Schoen-Yau proof of the positive mass theorem can be extended to arbitrary dimensions. To overcome the problem of singularities, we propose a new inductive sche…
math.DG2024
Metric Lines in the Special Euclidean group on the plane
Y. Wang, S. Ku, A. Bravo-Doddoli
The Special Euclidean group on the plane has the left-invariant sub-Riemannian structure. Every sub-Riemannian manifold possesses a Hamiltonian function governing the sub-R…