No symplectic-Lipschitz structures on S^{2n ≥ 4}

2021/06/08 by Dušan Joksimović, Joksimović, Dušan
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.SG #msc:53D05

paper · pdf · doi:10.48550/arxiv.2106.04290

6 pages

arxiv created 2021/06/08 · arxiv updated 2021/06/09

Abstract

We prove that a closed manifold which admits a symplectic-Lipschitz structure has non-vanishing even-degree cohomology groups with real coefficients. In particular, spheres S²ⁿ, n ≥ 2 do not admit symplectic-Lipschitz structures.

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