Orthogonal almost complex structures on the Riemannian products of even-dimensional round spheres
Differential Geometry
2013-01-31 v2
Abstract
We discuss the integrability of orthogonal almost complex structures on Riemannian products of even-dimensional round spheres and give a partial answer to the question raised by E. Calabi concerning the existence of complex structures on a product manifold of a round 2-sphere and a round 4-sphere.
Keywords
Cite
@article{arxiv.1301.6835,
title = {Orthogonal almost complex structures on the Riemannian products of even-dimensional round spheres},
author = {Yunhee Euh and Kouei Sekigawa},
journal= {arXiv preprint arXiv:1301.6835},
year = {2013}
}