English

Constant curvature hyperspheres and the Euler Characteristic

Differential Geometry 2011-03-17 v1

Abstract

We show how in many cases the algebraic number of immersed hyperspheres of constant (and prescribed) curvature may be related to the Euler Characteristic of the ambient space.

Keywords

Cite

@article{arxiv.1103.3235,
  title  = {Constant curvature hyperspheres and the Euler Characteristic},
  author = {Graham Smith},
  journal= {arXiv preprint arXiv:1103.3235},
  year   = {2011}
}

Comments

Complements arxiv:1010.1879 which will presently be revised

R2 v1 2026-06-21T17:40:28.197Z