On the incompleteness of the Weil-Petersson metric along degenerations of Calabi-Yau manifolds
On the incompleteness of the Weil-Petersson metric along degenerations of Calabi-Yau manifolds
The classical Weil-Petersson metric on the Teichmuller space of compact Riemann surfaces is a Kahler metric, which is complete only in the case of elliptic curves [Wo]. It has a natural generalization to the deformation spaces of higher dimansional polarized Kahler-Einstein manifolds. It is still Kahler, and in the case …