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

arxiv: 1104.0505 · v1 · pith:5S6IXZIZnew · submitted 2011-04-04 · 🧮 math.DG

Almost Complex Structure on S^(2n)

Jianwei Zhou This is my paper

classification 🧮 math.DG

keywords complexalmoststructurebundlechernclassfirstmethod

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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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Almost Complex Structure on S^(2n)

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