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Parallel surfaces in the real special linear gorup SL (2,ℝ)

Published online by Cambridge University Press:  17 April 2009

Mohamed Belkhelfa ,
Franki Dillen  and
Jun-Ichi Inoguchi
Mohamed Belkhelfa
Affiliation:
Department of mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Heverlee, Belgium, e-mail: mohamed.belkhelfa@wis.kuleuven.ac.be
Franki Dillen
Affiliation:
Departement of Applied Mathematics, Fukuoka University, Fukuoka 814–0180, Japan, e-mail: inoguchi@bach.sm.fukuoka.u.ac.jp
Jun-Ichi Inoguchi
Affiliation:
Department of mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Heverlee, Belgium e-mail: franki.dillen@wis.kuleuven.ac.be
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Abstract

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Dedicated to Professor Koichi Ogiue on his sixtieth birthday

We show that the only parallel surfaces in SL (2,ℝ) are rotational surfaces with constant mean curvature.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 2 , April 2002 , pp. 183 - 189
Copyright
Copyright © Australian Mathematical Society 2002

References

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