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math.AP2020
A Liouville theorem for Möbius invariant equations
YanYan Li, Han Lu, Siyuan Lu
In this paper we classify Möbius invariant differential operators of second order in two dimensional Euclidean space, and establish a Liouville type theorem for general Möbius inva…
math.DG2020
Rigidity of Riemannian Penrose inequality with corners and its implications
Siyuan Lu, Pengzi Miao
Motivated by the rigidity case in the localized Riemannian Penrose inequality, we show that suitable singular metrics attaining the optimal value in the Riemannian Penrose inequali…