Mathematics – Differential Geometry
Scientific paper
2006-12-22
Proceedings of G\"okova Geometry-Topology Conference, pages 137-153, International Press, 2006
Mathematics
Differential Geometry
16 pages
Scientific paper
We study a class of asymptotically cylindrical Ricci-flat K\"ahler metrics arising on quasiprojective manifolds. Using the Calabi--Yau geometry and analysis and the Kodaira--Kuranishi--Spencer theory and building up on results of N.Koiso for the case of compact manifolds, we show that under rather general hypotheses any `small' asymptotically cylindrical Ricci-flat deformations of asymptotically cylindrical Ricci-flat K\"ahler metrics are again K\"ahler, possibly with respect to a perturbed complex structure. We also find the dimension of the moduli space for these small deformations. In the class of asymptotically cylindrical Ricci-flat metrics on $2n$-manifolds, the holonomy reduction to SU(n) is an open condition.
No associations
LandOfFree
Ricci-flat deformations of asymptotically cylindrical Calabi--Yau manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Ricci-flat deformations of asymptotically cylindrical Calabi--Yau manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ricci-flat deformations of asymptotically cylindrical Calabi--Yau manifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-532084