@inproceedings{Lima2008JuN2, title={Ju n 20 08 Lower bounds for index of Wente tori}, author={Levi Lopes de Lima and Vicente Francisco de Sousa and Wayne Rossman}, year={2008} }

- Published 2008

The Hopf conjecture asked if all closed surfaces immersed in R with constant mean curvature H must be round spheres. It was proven true when either the surface has genus zero by Hopf himself [H], or the immersion is actually an embedding by Alexandrov [H]. However, it does not hold in general, and the first counterexamples, of genus 1, were found by Wente… CONTINUE READING

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