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Parallel surfaces in three-dimensional reducible spaces

Published online by Cambridge University Press:  22 May 2013

Giovanni Calvaruso  and
Joeri Van der Veken
Giovanni Calvaruso
Affiliation:
Università del Salento, Dipartimento di Matematica e Fisica ‘E. De Giorgi’, Provinciale Lecce–Arnesano, 73100 Lecce, Italy ([email protected])
Joeri Van der Veken
Affiliation:
Katholieke Universiteit Leuven, Departement Wiskunde, Celestijnenlaan 200B, Bus 2400, 3001 Leuven, Belgium ([email protected])
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Abstract

We completely classify non-degenerate surfaces with parallel second fundamental form in three-dimensional Riemannian and Lorentzian reducible spaces.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 3 , June 2013 , pp. 483 - 491
Copyright
Copyright © Royal Society of Edinburgh 2013 

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