Luis M. Fernández2026-03-222026-03-22200610.1017/s0024609305018205https://doi.org/10.1017/s0024609305018205https://andeanlibrary.org/handle/123456789/71733Using the twistorial approach and some previous results, we prove the conjecture that the dimension of the moduli space of harmonic maps of area 4πd from the 2-sphere to the 2n-sphere is 2d + n2 for the particular case n = 3. 2000 Mathematics Subject Classification 53A10 (primary), 53C42 (secondary).enMathematicsSPHERESDimension (graph theory)ConjectureModuli spaceSpace (punctuation)Mathematics Subject ClassificationHarmonicPure mathematicsSpherical harmonicsTHE DIMENSION OF THE SPACE OF HARMONIC 2-SPHERES IN THE 6-SPHEREarticle