No symplectic-Lipschitz structures on $S^{2n\ge 4}$

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 $S^{2n},n\ge 2$ do not admit symplectic-Lipschitz structures.

arXiv comment6 pages