Title: Parallel and higher order parallel surfaces in three-dimensional homogeneous spaces
Authors: Van der Veken, Joeri #
Issue Date: 2007
Publisher: Real Sociedad Matemática Española
Host Document: Proceedings of the XV International Workshop on Geometry and Physics pages:359-366
Conference: International Workshop on Geometry and Physics edition:15 location:Puerto de la Cruz (Tenerife, Spain) date:11-16 September 2006
Abstract: We classify surfaces with parallel second fundamental form, in particular totally geodesic surfaces, in all three-dimensional homogeneous spaces. Moreover, we give a classification of surfaces with higher order parallel second fundamental form in three-dimensional homogeneous spaces with four-dimensional isometry group, i.e., in the so-called Bianchi-Cartan-Vranceanu family.
ISBN: 978-84-935193-1-2
Publication status: published
KU Leuven publication type: IC
Appears in Collections:Geometry Section
# (joint) last author

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