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math.DG2019
The -Bochner formulas for holomorphic mappings between Hermitian manifolds and their applications
Kai Tang
In this paper, we derive some -Bochner formulas for holomorphic maps between Hermitian manifolds. As applications, we prove some Schwarz lemma type est…
math.DG2019
Positive curvature operator, projective manifold and rational connectedness
Kai Tang
In his recent work \cite{Y1}, X. Yang proved a conjecture raised by Yau in 1982 (\cite{Yau82}), which states that any compact Kähler manifold with positive holomorphic sectional cu…