English

A modified Yamabe invariant and a Hopf conjecture

Differential Geometry 2012-08-01 v1

Abstract

In this paper we define the bi-orthogonal sectional curvature and we present two modified Yamabe invariants for compact 4-dimensional manifolds. In particular we obtained a relationship between one of these invariants and a Hopf conjecture.

Keywords

Cite

@article{arxiv.1207.7107,
  title  = {A modified Yamabe invariant and a Hopf conjecture},
  author = {Ezio Araujo Costa},
  journal= {arXiv preprint arXiv:1207.7107},
  year   = {2012}
}