English

Almost Complex Structures on (n-1)-connected 2n-manifolds

Algebraic Topology 2011-10-11 v1

Abstract

Let M be a closed (n-1)-connected 2n-dimensional smooth manifold with n > 2. In terms of the system of invariants for such manifolds introduced by Wall, we obtain necessary and sufficient conditions for M to admit an almost complex structure.

Keywords

Cite

@article{arxiv.1110.1798,
  title  = {Almost Complex Structures on (n-1)-connected 2n-manifolds},
  author = {Huijun Yang},
  journal= {arXiv preprint arXiv:1110.1798},
  year   = {2011}
}

Comments

12 pages

R2 v1 2026-06-21T19:17:23.749Z