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

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...

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Main Author: Marlio Paredes
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202012267
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author Marlio Paredes
author_facet Marlio Paredes
author_sort Marlio Paredes
collection DOAJ
description 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).
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institution Kabale University
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1687-0425
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publishDate 2002-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-411771b4f0c748858f71cd526c12b9112025-02-03T01:03:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01291165166410.1155/S0161171202012267Families of (1,2)-symplectic metrics on full flag manifoldsMarlio Paredes0Departamento de Matemática, IMECC-UNICAMP, Campinas 13083-970, SP, BrazilWe 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).http://dx.doi.org/10.1155/S0161171202012267
spellingShingle Marlio Paredes
Families of (1,2)-symplectic metrics on full flag manifolds
International Journal of Mathematics and Mathematical Sciences
title Families of (1,2)-symplectic metrics on full flag manifolds
title_full Families of (1,2)-symplectic metrics on full flag manifolds
title_fullStr Families of (1,2)-symplectic metrics on full flag manifolds
title_full_unstemmed Families of (1,2)-symplectic metrics on full flag manifolds
title_short Families of (1,2)-symplectic metrics on full flag manifolds
title_sort families of 1 2 symplectic metrics on full flag manifolds
url http://dx.doi.org/10.1155/S0161171202012267
work_keys_str_mv AT marlioparedes familiesof12symplecticmetricsonfullflagmanifolds