Calabi-Yau metrics on canonical bundles of complex flag manifolds

Autor(es)

Correa, Eder M. ^[1] ; Grama, Lino ^[2]

Afiliação do(s) autor(es)

^[1] IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro - Brazil

^[2] Imecc Unicamp, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 527, p. 109-135, JUN 1 2019.
• Citações Web of Science: 0

Resumo

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 Kahler 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). (C) 2019 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 16/22755-1 - Tópicos em geometria de espaços homogêneos
• Beneficiário: Lino Anderson da Silva Grama
• Modalidade de apoio: Auxílio à Pesquisa - Regular