Calabi-Yau metrics on canonical bundles of complex flag manifolds
arXiv:1709.07956
Abstract
In the present paper we provide a description of complete Calabi-Yau metrics on the canonical bundle of generalized complex flag manifolds. By means of Lie theory we give an explicit description of complete Ricci-flat Kähler metrics obtained through the Calabi ansatz technique. We use this approach to provide several explicit examples of noncompact complete Calabi-Yau manifolds, these examples include canonical bundles of non-toric flag manifolds (e.g. Grassmann manifolds and full flag manifolds).
23 pages, 2 figures, V2: minor corrections and a reference added (Comments are welcome)