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2012 Bonnet Pairs of Surfaces in Minkowski Space
G. Grantcharov, R. Salom
Afr. Diaspora J. Math. (N.S.) 14(2): 57-75 (2012).

Abstract

We review some results about Bonnet pairs in Minkowski space obtained using split quaternions and split complex numbers. We present also an example of Bonnet pairs of minimal immersed timelike tori with umbilical points. Such examples do not exists in the Euclidean space.

Citation

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G. Grantcharov. R. Salom. "Bonnet Pairs of Surfaces in Minkowski Space." Afr. Diaspora J. Math. (N.S.) 14 (2) 57 - 75, 2012.

Information

Published: 2012
First available in Project Euclid: 31 July 2013

zbMATH: 1278.53023
MathSciNet: MR3093234

Subjects:
Primary: 53A35 , 53B25

Keywords: Bonnet pairs , split complex numbers , split quaternions

Rights: Copyright © 2012 Mathematical Research Publishers

Vol.14 • No. 2 • 2012
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