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Results tagged with geometric-analysis
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user 766
16
votes
Epsilon regularity: what does it say and where does it come from?
The way I think of it is to view semilinear PDEs, such as the harmonic map equation, as a contest between the linear portion of the equation ($\Delta u$ in this case) and the nonlinear portions (which …
- 114k
8
votes
How does curvature change under perturbations of a Riemannian metric?
The coordinate-dependent approaches mentioned in other posts are the quickest way to proceed here, but if you want a more coordinate-independent approach, one can flow from one metric g to the next g' …
- 114k