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Results tagged with ricci-curvature
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user 90655
8
votes
0
answers
405
views
What specifically is the gap in Aubin's argument about positive Ricci curvature that Paul Eh...
In his paper [2], Paul Ehrlich write
In [1], Aubin stated a theorem which implied as a corollary that if a manifold
$M$ admits a Riemannian metric with nonnegative Ricci curvature and
all Ricci curva …
- 4,195
2
votes
1
answer
270
views
Is there any Riemannian manifold of zero dimensional isometry group such that
Sorry if this question is belongs to MSE. I have no idea about it.
Question: Is there any Riemannian manifold of zero dimensional isometry group which its Ricci curvature is positive (or maybe zer …
- 4,195
9
votes
Deforming metrics from non-negative to positive Ricci curvature
This is not a complete answer but would be helpful. Here are a few facts:
Theorem (T. Aubin 1970 and P. Ehrlich 1976). If the Ricci curvature of a compact Riemannian manifold is
non-negative and posit …
- 4,195