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Bonnet Pairs of Surfaces in Minkowski Space

Volume 14, Number 2 (2012), 57 - 75

Bonnet Pairs of Surfaces in Minkowski Space

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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 time-like tori with umbilical points. Such examples do not exists in the Euclidean space.

Dedicated to Professor Augustin Banyaga on the occasion of his 65th birthday.