Almost Complex Structure on $S^{2n}$

Details Almost Complex Structure on $S^{2n}$ Almost Complex Structure on $S^{2n}$

2011-04-04

arxiv.org/abs/1104.0505v1

Mathematics

Differential Geometry

4 pages

Scientific paper

We show that there is no complex structure in a neighborhood of the space of
orthogonal almost complex structures on the sphere $S^{2n}, \ n>1$. The method
is to study the first Chern class of vetcor bundle $T^{(1,0)}S^{2n}$.

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