5 papers · 1 filter
Characterization on projective submanifolds of codimensions 2 and 3
Ping Li, Fangyang Zheng
In this article we give a necessary and sufficient condition to characterize projective submanifolds in with codimensions 2 and 3. The conditions involve the Chern…
The rigidity on the second fundamental form of projective manifolds
Ping Li
Let be a complex -dimensional projective manifold in endowed with the Fubini-Study metric of constant holomorphic sectional curvature , its second…
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…
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…
Combinatorial identities and Chern numbers of complex flag manifolds
Ping Li, Wenjing Zhao
We present in this article a family of new combinatorial identities via purely differential/complex geometry methods, which include as a speical case a unified and explicit formula…