Fernández Fernández, Luis Manuel2025-03-062025-03-062014-11-24Fernández Fernández, L.M. (2014). The space of almost complex 2-spheres in the 6-spheres. Transactions of the American Mathematical Society, 367 (4), 2437-2458.0002-99471088-6850https://hdl.handle.net/11441/169714The complex dimension of the space of linearly full almost complex 2-spheres of area 4πd in the round 6-sphere is calculated to be d + 8. Explicit examples of these objects are constructed for every integer value of the degree, d ≥ 6, d = 7. Furthermore, it is shown that when d = 6 this space is isomorphic to the group G2(C), and when d = 7 this space is empty. We also show that the dimension of the space of nonlinearly full almost complex 2-spheres of area 4πd in the round 6-sphere is 2d + 5.application/pdf22 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess