Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ORTHOGONAL ALMOST COMPLEX STRUCTURES ON THE RIEMANNIAN PRODUCTS OF EVEN-DIMENSIONAL ROUND SPHERES

  • Euh, Yunhee (Department of Mathematics Sungkyunkwan University) ;
  • Sekigawa, Kouei (Department of Mathematics Faculty of Science Niigata University)
  • Received : 2011.08.08
  • Published : 2013.03.01
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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 of a round 4-sphere.

Keywords

References

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Cited by

  1. NOTES ON A QUESTION RAISED BY E. CALABI vol.53, pp.1, 2016, https://doi.org/10.4134/BKMS.2016.53.1.083