NOTES ON A QUESTION RAISED BY E. CALABI

被引：1

作者：

Euh, Yunhee ^{[1
]}

Sekigawa, Kouei ^{[2
]}

机构：

[1] Natl Inst Math Sci, Div Math Models, Daejeon 34047, South Korea

[2] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2016年 / 53卷 / 01期

关键词：

orthogonal complex structure; warped product; curvature identity; COMPLEX STRUCTURES;

D O I：

10.4134/BKMS.2016.53.1.083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any orthogonal almost complex structure on a warped product Riemannian manifold of an oriented closed surface with nonnegative Gaussian curvature and a round 4-sphere is never integrable. This provides a partial answer to a question raised by E. Calabi.

引用

页码：83 / 90

页数：8

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