English

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

Symplectic Geometry 2021-06-09 v1

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,n2S^{2n}, n \geq 2 do not admit symplectic-Lipschitz structures.

Keywords

Cite

@article{arxiv.2106.04290,
  title  = {No symplectic-Lipschitz structures on $S^{2n \geq 4}$},
  author = {Dušan Joksimović},
  journal= {arXiv preprint arXiv:2106.04290},
  year   = {2021}
}

Comments

6 pages

R2 v1 2026-06-24T02:57:21.027Z