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math.DG2018
Kähler hyperbolic manifolds and Chern number inequalities
Ping Li
We show in this article that Kähler hyperbolic manifolds satisfy a family of optimal Chern number inequalities and the equality cases can be attained by some compact ball quotients…
math.DG2018
On the spectral rigidity of Einstein-type Kähler manifolds
Ping Li
We are concerned in this article with a classical question in spectral geometry dating back to McKean-Singer, Patodi and Tanno: whether or not the constancy of holomorphic sectiona…