Geometric flows of G2-structures, and their Yang-Mills connections.
Poisson structures on Calabi-Yau threefolds and their deformations
Generating and Approximating Special Geometries with Machine Learning
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [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
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Algebra; v. 527, p. 109-135, JUN 1 2019. |
| Web of Science Citations: | 0 |
| 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 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) | |
| FAPESP's process: | 16/22755-1 - Topics on geometry of homogeneous spaces |
| Grantee: | Lino Anderson da Silva Grama |
| Support Opportunities: | Regular Research Grants |