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- Tongji UniversityCN26 papers
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4 papers · 2 filters
Positive mass theorems for asymptotically de Sitter spacetimes
Mingxing Luo, Naqing Xie, Xiao Zhang
We use planar coordinates as well as hyperbolic coordinates to separate the de Sitter spacetime into two parts. These two ways of cutting the de Sitter give rise to two different s…
Curvature estimates for minimal submanifolds of higher codimension
Y. L. Xin, Ling Yang
We derive curvature estimates for minimal submanifolds in Euclidean space for arbitrary dimension and codimension via Gauss map. Thus, Schoen-Simon-Yau's results and Ecker-Huisken'…
Bernstein Theorems for Space-like Graphs with Parallel Mean Curvature and Controlled Growth
Yuxin Dong
In this paper, we obtain an Ecker-Huisken type result for entire graphs with parallel mean curvature.
Positive mass theorems for asymptotically AdS spacetimes with arbitrary cosmological constant
Naqing Xie, Xiao Zhang
We formulate and prove the Lorentzian version of the positive mass theorems with arbitrary negative cosmological constant for asymptotically AdS spacetimes. This work is the contin…