3 papers
math.DG2026
Positive mass theorem for initial data sets with arbitrary ends
Tin-Yau Tsang
We showed a positive energy theorem for asymptotically flat initial data sets with the concept of spectral PSC by He-Shi-Yu, Bi-Hao-He-Shi-Zhu and Brendle-Wang; and the Jang equati…
math.DG2026
Positive mass theorems for manifolds with ALH toroidal ends
Gregory J. Galloway, Tin-Yau Tsang
In work with P. ChruÅciel, L. Nguyen and T.-T. Paetz [8], a positive mass theorem was obtained for asymptotically locally hyperbolic manifolds with boundary, having a toroidal end…
math.DG2024
Remarks on quasilocal mass and fill-ins
Tin-Yau Tsang
In this paper we would have a brief overview of several proposals of quasilocal mass which are based on Hamiltonian formulation. We also show the positivity of the Wang-Yau energy…