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Results tagged with dg.differential-geometry
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user 26474
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
3
votes
3
answers
1k
views
Bounded curvature (derivatives) and Shi's estimates
While reading "Hopper, Andrews - The Ricci Flow in Riemannian Geometry" I came across Shi's global derivative estimates, which posed two problems for me:
For a manifold (M,g) with curvature tensor $ …
- 83
3
votes
0
answers
177
views
Strake's splitting theorem for complex sectional curvature
Strake's splitting theorem: Let $(M^n,g)$ be an open manifold with sectional curvature $K\ge 0$ and soul $\Sigma^k$. If the normal holonomy group of $\Sigma$ is trivial, $M$ splits isometrically into …
- 83
2
votes
1
answer
556
views
Ricci flow descending from an universal cover
Reading some of my old notes, I came across a remark, I don't understand. Summarized:
Let $(M^n,g)$ be an open riemannian manifold (in that case it came with sectional curvature $K\ge0$, but I don't …
- 83