6 citations · 12 across the 7 of their papers we have counts for
7 papers
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…
Positive mass theorems for manifolds with asymptotically locally hyperbolic toroidal ends
Gregory J. Galloway, Tin-Yau Tsang
In [Classical Quantum Gravity 35, 115015 (2018)], P. Chruściel, L. Nguyen, T.-T. Paetz and the first-named author obtained a positive mass theorem for asymptotically locally hyperb…
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…
Monotonicity of the -Green functions
Pak-Yeung Chan, Jianchun Chu, Man-Chun Lee +1
On a complete -nonparabolic -dimensional manifold with non-negative scalar curvature and vanishing second homology, we establish a sharp monotonicity formula for the proper $…
On a spacetime positive mass theorem with corners
Tin-Yau Tsang
In this paper we consider the positive mass theorem for general initial data sets satisfying the dominant energy condition which are singular across a piecewise smooth surface. We…
Dihedral rigidity for cubic initial data sets
Tin-Yau Tsang
In this paper we pose and prove a spacetime version of Gromov's dihedral rigidity theorem (Gromov, Li) for cubes when the dimension is 3 by studying the level sets of spacetime har…
Mass of asymptotically flat -manifolds with boundary
Sven Hirsch, Pengzi Miao, Tin-Yau Tsang
We study the mass of asymptotically flat -manifolds with boundary using the method of Bray-Kazaras-Khuri-Stern. More precisely, we derive a mass formula on the union of an asymp…