Solution to the Willmore conjecture

Resumo

In 1965, T. J. Willmore conjectured that the integral of the square of the mean curvature of a torus immersed in Euclidean three-space is at least 2π2. In this talk we will discuss recent work, joint with Andre Neves (Imperial College, UK), in which we prove this conjecture. This is intended for a general audience.

Fernando Codá Marques    ( codaimpa.br )
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