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An explicit retraction of symplectic flag manifolds onto complex flag manifolds

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Publication:1956317
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DOI10.1007/s00022-013-0148-4zbMath1275.53069OpenAlexW2083961492MaRDI QIDQ1956317

Augustin Banyaga, Deborah Olayide A. Ajayi

Publication date: 13 June 2013

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-013-0148-4


zbMATH Keywords

polar decompositiondeformation retractcomplex and symplectic flag manifoldscomplex and symplectic Stiefel manifoldsreduction of structural group


Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05)


Related Items (1)

Riemannian Optimization on the Symplectic Stiefel Manifold



Cites Work

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  • Grassmannians of symplectic subspaces
  • Holomorphic curves in symplectic geometry
  • Structure of dynamical systems. A symplectic view of physics. Transl. from the French by C. H. Cushman-de Vries. Transl. ed.: R. H. Cushman a. G. M. Tuynman
  • Mod two homology and cohomology
  • Combinatorial homotopy. I


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