A differential geometric characterization of the Cayley hypersurface

Authors:
Zejun Hu, Cece Li and Dong Zhang

Journal:
Proc. Amer. Math. Soc. **139** (2011), 3697-3706

MSC (2010):
Primary 53A15; Secondary 53B25, 53B30

Published electronically:
February 21, 2011

MathSciNet review:
2813399

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Abstract: The so-called Cayley hypersurface, constructed by Eastwood and Ezhov, is a higher-dimensional extension of the classical Cayley surface. In this paper, we establish a differential geometric characterization of the Cayley hypersurface, which is an answer to Eastwood and Ezhov's question.

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Additional Information

**Zejun Hu**

Affiliation:
Department of Mathematics, Zhengzhou University, Zhengzhou 450052, People’s Republic of China

Email:
huzj@zzu.edu.cn

**Cece Li**

Affiliation:
Department of Mathematics, Zhengzhou University, Zhengzhou 450052, People’s Republic of China

Email:
ceceli@sina.com

**Dong Zhang**

Affiliation:
Department of Mathematics, Zhengzhou University, Zhengzhou 450052, People’s Republic of China

Email:
zd20082100333@163.com

DOI:
http://dx.doi.org/10.1090/S0002-9939-2011-10772-X

Keywords:
Cayley hypersurface,
differential geometric characterization,
parallel cubic form

Received by editor(s):
April 29, 2010

Received by editor(s) in revised form:
August 26, 2010

Published electronically:
February 21, 2011

Additional Notes:
This project was supported by grants of the NSFC (No. 10671181 and No. 11071225)

Communicated by:
Jianguo Cao

Article copyright:
© Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.