Manifolds of contant curvature are conformally flat. I'm trying to find a stronger claim related to this for manifolds of dimension >2. Does anyone knows if for instance Riemannian manifolds(of dimension >2) with non-constant curvature are necessarily not conformally flat, or maybe something weaker, can it be said just for dimension n=3?(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A Conformal flatness of Riemannian manifolds

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**