Bulletin of the
Korean Mathematical Society
BKMS
Article
ALL ARTICLES
View
Bull. Korean Math. Soc. 2016; 53(1): 83-90
Printed January 31, 2016
https://doi.org/10.4134/BKMS.2016.53.1.83
Copyright © The Korean Mathematical Society.
Notes on a question raised by E. Calabi
Yunhee Euh and Kouei Sekigawa
National Institute for Mathematical Sciences, Niigata University
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.
Keywords: orthogonal complex structure, warped product, curvature identity
MSC numbers: 53C15, 53C21, 53C55
Article Tools
Stats or Metrics
Share this article on :
Related articles in BKMS
-
Generalized $m$-quasi-Einstein structure in almost Kenmotsu manifolds
2023; 60(3): 717-732
-
Integrability of an almost complex structure on $S^4\times_f V^2$
2022; 59(4): 801-810
-
Some warped product submanifolds of a Kenmotsu manifold
2014; 51(3): 863-881
-
A characterization of space forms
1998; 35(4): 757-765
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd