3 citations · 13 across the 26 of their papers we have counts for
4 papers · 1 filter
Evaluation of the mass of an asymptotically hyperbolic manifold
Xiaoxiang Chai
We show that the mass of an asymptotically hyperbolic manifold with a noncompact boundary can be evaluated via the Ricci tensor and the second fundamental form by using purely coor…
Willmore type inequality using monotonicity formulas
Xiaoxiang Chai
Simon type monotonicity formulas for the Willmore functional in the hyperbolic space and are obtained. The formula gives a low…
Positive mass theorem and free boundary minimal surfaces
Xiaoxiang Chai
Built on a recent work of Almaraz, Barbosa, de Lima on positive mass theorems on asymptotically flat manifods with a noncompact boundary, we apply free boundary minimal surface tec…
Two quasi-local masses evaluated on surfaces with boundary
Xiaoxiang Chai
We study Hawking mass and the Huisken's isoperimetric mass evaluated on surfaces with boundary. The convergence to an ADM mass defined on asymptotically flat manifold with a non-co…