23 citations · 25 across the 4 of their papers we have counts for
12 papers
Weil-Petersson geometry on moduli space of polarized Calabi-Yau manifolds
Zhiqin Lu, Xiaofeng Sun
In this paper, we define and study the Weil-Petersson geometry. Under the framework of the Weil-Petersson geometry, we study the Weil-Petersson metric and the Hodge metric. Among t…
Finiteness of volume of moduli spaces
Michael R. Douglas, Zhiqin Lu
We give a ``physics proof'' of a conjecture made by the first author at Strings 2005, that the moduli spaces of certain conformal field theories are finite volume in the Zamolodchi…
On the Weil-Petersson Geometry of Calabi-Yau Moduli
Zhiqin Lu, Eisuke Natsukawa
In this paper we proved that the Weil-Petersson volume of the Chern class of any order over the moduli space of Calabi-Yau manifolds is a rational number. We also found the necessa…
On the Curvature Tensor of the Hodge Metric of Moduli Space of Polarized Calabi-Yau Threefolds
Zhiqin Lu
In this paper, we give an expression and some estimates of the curvature tensor of the Hodge metric over the moduli space of a polarized Calabi-Yau threefold. The symmetricity of t…
A note on the holomorphic invariants of Tian-Zhu
Zhiqin Lu
In this paper, we compute the Tian-Zhu invariant on hypersurfaces of complex projective spaces.
On the Rigidity of Horizontal Slices
Zhiqin Lu
In this paper, we proved a rigidity theorem of the Hodge metric for concave horizontal slices and a local rigidity theorem for the monodromy representation.