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On the class of metrics g on $${\mathbb {S}}^2\times {\mathbb {S}}^2$$S2×S2 conformal to the standard metric $$g_0$$g0 induced by $${\mathbb {R}}^6$$R6 and the Hopf conjecture

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The aim of this work is to prove that Hopf conjecture is true on the class of metrics g on $$M={\mathbb {S}}^2\times {\mathbb {S}}^2$$M=S2×S2 conformal to the standard metric $$g_0$$g0… Click to show full abstract

The aim of this work is to prove that Hopf conjecture is true on the class of metrics g on $$M={\mathbb {S}}^2\times {\mathbb {S}}^2$$M=S2×S2 conformal to the standard metric $$g_0$$g0 induced by $${\mathbb {R}}^6$$R6 on M.

Keywords: mathbb conformal; times mathbb; metrics mathbb; hopf conjecture; class metrics; mathbb times

Journal Title: Afrika Matematika
Year Published: 2018

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