English

The Scalar Curvature Equation on $S^3$

Differential Geometry 2008-09-01 v1 Analysis of PDEs

Abstract

We give existence results for solutions of the prescribed scalar curvature equation on S3S^3, when the curvature function is a positive Morse function and satisfies an index-count condition.

Keywords

Cite

@article{arxiv.0808.4005,
  title  = {The Scalar Curvature Equation on $S^3$},
  author = {Matthias Schneider},
  journal= {arXiv preprint arXiv:0808.4005},
  year   = {2008}
}

Comments

23 pages, 1 figure