An explicit retraction of symplectic flag manifolds onto complex flag manifolds

Deborah Olayide A. Ajayi, Augustin Banyaga

Research output: Contribution to journalArticlepeer-review

Abstract

We construct an explicit deformation retraction of the manifold of symplectic flags onto the manifold of complex flags. The main tool is the polar decomposition of symplectic matrices. We also give a new definition of symplectic Stiefel manifold and prove that it has the same homotopy type as the complex Stiefel manifold.

Original languageEnglish (US)
Pages (from-to)1-9
Number of pages9
JournalJournal of Geometry
Volume104
Issue number1
DOIs
StatePublished - Mar 26 2013

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Fingerprint Dive into the research topics of 'An explicit retraction of symplectic flag manifolds onto complex flag manifolds'. Together they form a unique fingerprint.

Cite this