Title: Lorentzian symmetric three-spaces and the classification of their parallel surfaces
Authors: Calvaruso, Giovanni * # ×
Van der Veken, Joeri * #
Issue Date: Oct-2009
Publisher: World scientific publ co pte ltd
Series Title: International journal of mathematics vol:20 issue:10 pages:1185-1205
Abstract: We describe a global model for Lorentzian symmetric three-spaces admitting a parallel null vector field, and classify completely the surfaces with parallel second fundamental form in all Lorentzian symmetric three-spaces. Interesting differences arise with respect to the Riemannian case. Our results complete the classification of parallel surfaces in all three-dimensional Lorentzian homogeneous spaces.
ISSN: 0129-167X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Geometry Section
* (joint) first author
× corresponding author
# (joint) last author

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