[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2013.50.2.231

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)

Publication Information

Journal of the Korean Mathematical Society / v.50, no.2, 2013 , pp. 231-240 More about this Journal

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

orthogonal complex structure; even-dimensional sphere; curvature identity; Ricci *-tensor;

Citations & Related Records

Reference

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