arXiv Analytics

Sign in

arXiv:1104.0505 [math.DG]AbstractReferencesReviewsResources

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

Jianwei Zhou

Published 2011-04-04Version 1

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 $T^{(1,0)}S^{2n}$.

Comments: 4 pages
Categories: math.DG
Subjects: 53B35, 53C05, 57R20
Related articles: Most relevant | Search more
arXiv:2006.05958 [math.DG] (Published 2020-06-10)
Biharmonic almost complex structure
arXiv:1808.04534 [math.DG] (Published 2018-08-14)
Stable almost complex structures on certain $10$-manifolds
arXiv:1003.5172 [math.DG] (Published 2010-03-26, updated 2011-04-23)
Almost complex structures on quaternion-Kähler manifolds and inner symmetric spaces

Links

Toolbox