Invariant almost complex geometry on flag manifolds: geometric formality and Chern numbers

In the first part of this paper, we study geometric formality for generalized flag manifolds, including full flag manifolds of exceptional Lie groups. In the second part, we deal with the problem of the classification of invariant almost complex structures on generalized flag manifolds using topolog...

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Bibliographic Details
Published in:Annali di matematica pura ed applicata 2017-02, Vol.196 (1), p.165-200
Main Authors: Grama, Lino, Negreiros, Caio J. C., Oliveira, Ailton R.
Format: Article
Language:English
Subjects:
Invariants
Lie groups
Manifolds (mathematics)
Mathematics
Mathematics and Statistics
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Summary:In the first part of this paper, we study geometric formality for generalized flag manifolds, including full flag manifolds of exceptional Lie groups. In the second part, we deal with the problem of the classification of invariant almost complex structures on generalized flag manifolds using topological methods.
ISSN:0373-3114
1618-1891
DOI:10.1007/s10231-016-0568-5