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Results tagged with dg.differential-geometry
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user 136982
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
2
votes
Metrics $g_1\leqslant g_2$ implies the Ricci flow $g_1(t)\leqslant g_2(t)$?
For the compact manifold, @Otis Chodosh already gave a good answer on the comment. If you only assume $M$ to be complete, I'm not sure if it is still true since your statement implies the uniqueness o …
- 123
4
votes
0
answers
121
views
Ricci flow on locally symmetric noncompact manifold
As it is mentioned by Deane Yang in Ricci flow preserves locally symmetry along the flow, we know the local symmetry is preserved under the Ricci flow on the compact manifold since we have the evoluti …
- 123
6
votes
1
answer
535
views
Example of a manifold with positive isotropic curvature but possibly negative Ricci curvature
Is there any example of a manifold with a positive isotropic curvature but it possibly obtains a negative Ricci curvature at some point and the direction? If we see the definition of the positive isot …
- 123