Invariant generalized complex structures on homogeneous spaces
Generalized complex geometry on homogeneous spaces, T-duality and applications to ...
Applications of Lie theory in the symplectic and hermitian geometry of homogeneous...
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, UNICAMP, Dept Math, Inst Math Stat & Sci Computat, Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Results in Mathematics; v. 60, n. 1-4, p. 405-421, OCT 2011. |
| Web of Science Citations: | 2 |
| Abstract | |
In this paper we study homogeneous curves in generalized flag manifolds with two isotropy summands with the additional property that such curves are geodesics with respect to each invariant metric on the flag manifold. These curves are called equigeodesics. We give an algebraic characterization for such curves and we exhibit families of equigeodesics in several flag manifolds of classical and exceptional Lie groups. (AU) | |
| FAPESP's process: | 07/06896-5 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |