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math.DG2021★ 1 cited
Schwarz lemma: the case of equality and an extension
Haojie Chen, Xiaolan Nie
We prove two results related to the Schwarz lemma in complex geometry. First, we show that if the inequality in the Schwarz lemmata of Yau, Royden and Tosatti becomes equality at o…
math.AP2021★ 1 cited
Second order estimates for fully nonlinear elliptic equations with gradient terms on Hermitian manifolds
Bo Guan, Xiaolan Nie
We derive a priori second order estimates for fully nonlinear elliptic equations which depend on the gradients of solutions in critical ways on Hermitian manifolds. The global esti…