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arXiv · 1301.6835

Orthogonal almost complex structures on the Riemannian products of even-dimensional round spheres

Yunhee Euh·Kouei Sekigawa
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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.

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Yunhee Euh, Kouei Sekigawa. 2013-01-29. Orthogonal almost complex structures on the Riemannian products of even-dimensional round spheres. https://arxiv.org/abs/1301.6835

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