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Results tagged with curvature
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user 495950
Gaussian curvature, mean curvature, sectional curvature, scalar curvature, curvature tensors (Riemann, Ricci, Weyl)
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Can we bound the squared Gaussian curvature of genus three triply periodic minimal surfaces?
I want to understand the value of
$$\frac{\int_\mathcal{M} K^2dA\cdot A(\mathcal{M})}{\left(\int_\mathcal{M}KdA\right)^2}$$
for the Gaussian curvature $K$. … Therefore, my question boils down to asking, whether we can bound the squared Gaussian curvature integral $\int_\mathcal{M}K^2dA$ and the surface area $A(\mathcal{M})$ from below, or whether we can express …