Eells' conjecture on harmonic maps from the 3-sphere to the 2-sphere
Let f:S3→S2f:\mathbb{S}^3\to\mathbb{S}^2f:S3→S2 be a harmonic map, where both spheres have their round metrics. Let π:S3→S2\pi:\mathbb{S}^3\to\mathbb{S}^2π:S3→S2 be the Hopf fibration. Eells' conjecture.…