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Results tagged with geometric-analysis
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user 1573
7
votes
Non-compact manifolds of positive/non-negative Ricci curvature
There are ways to glue while preserving positive Ricci curvature, but of course they require some geometric control near $\partial M$. Let me mention two relevant papers:
On the moduli space of pos …
- 29.1k
5
votes
How does curvature change under perturbations of a Riemannian metric?
It is a fact (due to Riemann I believe) that in normal coordinates, the Taylor expansion of $g_{ij}$ is $\delta_{ij}+\frac{1}{3}R_{ikjl}x^k x^l+O(||x||^3)$, where $R_{ikjl}$ are components of the $(4, …
- 29.1k