Construct · 1 fields · 1 citations

Willmore conjecture: a standalone construct

One name. One construct. A landmark on the map.

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Differential geometry

among tori in space the Clifford torus minimizes the integral of squared mean curvature.

In differential geometry, Willmore conjecture refers to among tori in space the Clifford torus minimizes the integral of squared mean curvature. This meaning comes from Marques (2014) in Annals of Mathematics.[1]

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Nearby constructs

curvature3 fields · 4 citationsjingle · one word, three constructs integral3 fields · 4 citationsjingle · one word, three constructs mean3 fields · 6 citationsjingle · one word, three constructs

References

Marques, F., & Neves, A. (2014). The Min-Max theory and the Willmore conjecture. Annals of Mathematics, 179(2), 683-782. https://doi.org/10.4007/annals.2014.179.2.6

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