The Lalonde-McDuff conjecture for nilmanifolds

2006/08/09 by Zofia Stępień, Stepien, Zofia
Mathematics · #55P62 #57R17 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometry and complex manifolds #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.math/0608214

openalex publication_date 2006/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that any Hamiltonian bundle whose fiber is a nilmanifold c-splits.

Citations

• Complex structures on nilpotent Lie algebras

Related

• A remark on the c--splitting conjecture
• The Lalonde-McDuff conjecture and the fundamental group
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• Iterated circle bundles and infranilmanifolds