Invariant Hermitian structures and variational aspects of a family of holomorphic curves on flag manifolds |
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Authors: | Caio J. C. Negreiros Lino Grama Luiz A. B. San Martin |
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Affiliation: | 1.Institute of Mathematics, Statistics and Scientific Computation,University of Campinas-UNICAMP,Campinas,Brazil |
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Abstract: | In this article, we study variational aspects for a special class of holomorphic maps on flag manifolds. We prove stability and non-stability results for such maps with respect to a large number of invariant Hermitian structures on maximal flag manifolds including the (1, 2)-symplectic structures, Einstein metrics, Cartan–Killing metrics, and so on. Some results in this article were announced without proofs in a past article by the first author. |
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