A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric

Authors:
Bahaa E. Abdalla and Franki Dillen

Journal:
Proc. Amer. Math. Soc. **130** (2002), 1805-1808

MSC (1991):
Primary 53B25

DOI:
https://doi.org/10.1090/S0002-9939-01-06220-7

Published electronically:
December 20, 2001

MathSciNet review:
1887029

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Abstract | References | Similar Articles | Additional Information

Abstract: We construct the first explicit example of a Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric.

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Additional Information

**Bahaa E. Abdalla**

Affiliation:
Department of Mathematics, College of Science, King Fahd University of Petroleum and Minerals, Box 859, Dhahran 31261, Saudi Arabia

Address at time of publication:
Prince Sultan Private College, Riyadh 11586, P.O. Box 66833, Kingdom of Saudi Arabia

Email:
b_abdalla@hotmail.com

**Franki Dillen**

Affiliation:
Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium

Email:
Franki.Dillen@wis.kuleuven.ac.be

DOI:
https://doi.org/10.1090/S0002-9939-01-06220-7

Keywords:
Semi-symmetric,
Ricci-semi-symmetric,
hypersurface

Received by editor(s):
July 28, 2000

Received by editor(s) in revised form:
November 28, 2000

Published electronically:
December 20, 2001

Additional Notes:
The second author is a Postdoctoral Research Fellow of the Fund for Scientific Research–Flanders.

Communicated by:
Wolfgang Ziller

Article copyright:
© Copyright 2001
American Mathematical Society