11 citations · 30 across the 20 of their papers we have counts for
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math.AT2017★ 4 cited
Almost complex structures on connected sums of complex projective spaces
Oliver Goertsches, Panagiotis Konstantis
We show that the m-fold connected sum admits an almost complex structure if and only if m is odd.
math.HO2017★ 6 cited
On the history of the Hopf problem
Ilka Agricola, Giovanni Bazzoni, Oliver Goertsches +2
This short note serves as a historical introduction to the Hopf problem: "Does there exist a complex structure on ?" This unsolved mathematical question was the subject of the…
math.DG2017★ 11 cited
Almost complex structures on spheres
Panagiotis Konstantis, Maurizio Parton
In this paper we review the well-known fact that the only spheres admitting an almost complex structure are S^2 and S^6. The proof described here uses characteristic classes and th…