Almost Complex Submanifolds of the Six Sphere
Almost Complex Submanifolds of the Six Sphere
In this note we prove the following theorem. Theorem.With respect to the usual almost complex structure, S6 has no ^-dimensional almost complex submanifolds.The proof, which is entirely local, is divided into several lemmas.The usual almost complex structure J on S6 can be defined either by means of the Cayley numbers[l], …