| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 150, APR 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
Let G be a complex semi-simple Lie group and form its maximal flag manifold F = G/P = U/T where P is a minimal parabolic subgroup, U a compact real form and T = U boolean AND P a maximal torus of U. The aim of this paper is to study invariant generalized complex structures on F. We describe the invariant generalized almost complex structures on F and classify which one is integrable. The problem reduces to the study of invariant 4-dimensional generalized almost complex structures restricted to each root space, and for integrability we analyze the Nijenhuis operator for a triple of roots such that its sum is zero. We also conducted a study about twisted generalized complex structures. We define a new bracket twisted' by a closed 3-form Omega and also define the Nijenhuis operator twisted by Omega. We classify the Omega-integrable generalized complex structure. (C) 2020 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 16/07029-2 - Invariant generalized complex structures on homogeneous spaces |
| Grantee: | Carlos Augusto Bassani Varea |
| Support Opportunities: | Scholarships in Brazil - Doctorate |