129 citations · 553 across the 62 of their papers we have counts for
5 papers · 1 filter
On the DDVV Conjecture and the Comass in Calibrated Geometry (I)
Timothy Choi, Zhiqin Lu
In this paper, we proved a special case of the DDVV Conjecture.
On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds
Michael Douglas, Zhiqin Lu
In this paper, we study the Chern classes on the moduli space of polarized Calabi-Yau manifolds. We prove that the integrations of the invariants of the curvature of the Weil-Peter…
Analytic torsion for Calabi-Yau threefolds
Hao Fang, Zhiqin Lu, Ken-Ichi Yoshikawa
After Bershadsky-Cecotti-Ooguri-Vafa, we introduce an invariant of Calabi-Yau threefolds, which we call the BCOV invariant and which we obtain using analytic torsion. We give an ex…
Discrete spectrum of quantum tubes
Christopher Lin, Zhiqin Lu
This short paper is based on the talk of the second author given at the 2005 Hayama Symposium on Complex Analysis in Several Variables. The recent results of the authors on the spe…
On the Discrete Spectrum of Generalized Quantum Tubes
Christopher Lin, Zhiqin Lu
In this paper, we study the spectrum of quantum tubes. Under certain intrinsic assumptions of the asymptotically flat submanifold of the Euclidean space, we prove the existence of…