Ricci-flat deformations of asymptotically cylindrical Calabi--Yau manifolds

Simple item page
dc.creatorKovalev, Alexei
dc.date2006-12-22
dc.date.accessioned2026-07-07T07:36:53Z
dc.date.available2026-07-07T07:36:53Z
dc.descriptionWe study a class of asymptotically cylindrical Ricci-flat Kähler 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 Kähler metrics are again Kähler, 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0612715
dc.identifierhttp://arxiv.org/abs/math/0612715
dc.identifierProceedings of Gökova Geometry-Topology Conference, pages 137-153, International Press, 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120585
dc.subjectDifferential Geometry
dc.subject14J32, 32Q25, 53C55
dc.titleRicci-flat deformations of asymptotically cylindrical Calabi--Yau manifolds
dc.typetext

Files

Collections

arXiv