English

Manifold with infinitely many fibrations over the sphere

Differential Geometry 2025-01-09 v2

Abstract

We show that the manifold X=S2×S3X=S^2\times S^3 has infinitely many structures of a fiber bundle over the base B=S2.B=S^2. In fact for every lens space L(p,1)L(p,1) there is a fibration L(p,1)XB.L(p,1)\to X\to B.

Keywords

Cite

@article{arxiv.2405.01476,
  title  = {Manifold with infinitely many fibrations over the sphere},
  author = {Włodzimierz Jelonek and Zbigniew Jelonek},
  journal= {arXiv preprint arXiv:2405.01476},
  year   = {2025}
}