Jump to content

Berger's inequality for Einstein manifolds

Add links
From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by ArnoldReinhold (talk | contribs) at 17:23, 21 May 2020 (Adding short description: "Any 4-dimensional Einstein manifold has a non-negative Euler characteristic" (Shortdesc helper)). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In mathematics — specifically, in differential topology — Berger's inequality for Einstein manifolds is the statement that any 4-dimensional Einstein manifold (M, g) has non-negative Euler characteristic χ(M) ≥ 0. The inequality is named after the French mathematician Marcel Berger.

See also

References

  • Besse, Arthur L. (1987). Einstein Manifolds. Classics in Mathematics. Berlin: Springer. ISBN 3-540-74120-8.
Stub icon

This differential geometry-related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Berger%27s_inequality_for_Einstein_manifolds&oldid=958026321"