Abstract
The aim of this work is to prove that Hopf conjecture is true on the class of metrics g on \(M={\mathbb {S}}^2\times {\mathbb {S}}^2\) conformal to the standard metric \(g_0\) induced by \({\mathbb {R}}^6\) on M.
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We would like to acknowlege the NLAGA projet with SIMONS Fundation who partially suported the work.
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Niang, A., Thiandoum, A. On the class of metrics g on \({\mathbb {S}}^2\times {\mathbb {S}}^2\) conformal to the standard metric \(g_0\) induced by \({\mathbb {R}}^6\) and the Hopf conjecture. Afr. Mat. 29, 29–32 (2018). https://doi.org/10.1007/s13370-017-0523-7
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DOI: https://doi.org/10.1007/s13370-017-0523-7