English

Weyl curvature and the Euler characteristic in dimension four

Differential Geometry 2007-05-23 v1

Abstract

We give lower bounds, in terms of the Euler characteristic, for the L2L^2-norm of the Weyl curvature of closed Riemannian 4-manifolds. The same bounds were obtained by Gursky, in the case of positive scalar curvature metrics.

Keywords

Cite

@article{arxiv.math/0504535,
  title  = {Weyl curvature and the Euler characteristic in dimension four},
  author = {Harish Seshadri},
  journal= {arXiv preprint arXiv:math/0504535},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-07-22T17:18:38.073Z