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Results tagged with dg.differential-geometry
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user 83841
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
4
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0
answers
58
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Low boundary of $\mathcal W$ function
Picture below is from Topping's Lectures on Ricci flow.
I don't understand the red line. From Lemma 8.1.8, I can get that $\mathcal W (g,f,\tau)$ has low boundary for any compatible $f,g,\tau$. But h …
- 165
3
votes
0
answers
207
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Cheeger constant and isoperimetric ratio
$(S^2,g)$ is 2-dimensional sphere with Riemannian metric. Consider any curves $\gamma$ on $S^2$ dividing the total area $A$ into two parts $A_1+A_2 =A$. The isoperimetric ratio is
$$
C_s(\gamma)=\frac …
- 165
3
votes
0
answers
273
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Principal eigenvalue of Laplacian under volume preserving mean curvature flow
Consider a compact uniformly convex n-dimensional hypersurface $M_0$ without boundary , which is smoothly imbedded in $\mathbb R^{n+1}$ , and suppose that $M_0$ is represented locally by some diffeomo …
- 165
1
vote
2
answers
484
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Derivation of the volume preserving mean curvature flow
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Picture above is from
Huisken, Gerhard, The volume preserv …
- 165