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Families of ( 1, 2 ) -symplectic metrics on full flag manifolds

Marlio Paredes

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-14

Abstract:

We obtain new families of ( 1 , 2 ) -symplectic invariant metrics on the full complex flag manifolds F ( n ) . For n ≥ 5 , we characterize n − 3 different n -dimensional families of ( 1 , 2 ) -symplectic invariant metrics on F ( n ) . Each of these families corresponds to a different class of nonintegrable invariant almost complex structures on F ( n ) .

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:708569

DOI: 10.1155/S0161171202012267

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