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Title: Classification of flat lagrangian surfaces in complex lorentzian plane
Authors: Chen, Bang-Yen ×
Fastenakels, Johan #
Issue Date: Dec-2007
Publisher: Springer
Series Title: Acta Mathematica Sinica vol:23 issue:12 pages:2111-2144
Abstract: One of the most fundamental problems in the study of Lagrangian submanifolds from Riemannian geometric point of view is to classify Lagrangian immersions of real space forms into complex space forms. The main purpose of this paper is thus to classify flat Lagrangian surfaces in the Lorentzian complex plane C-1(2). Our main result states that there are thirty-eight families of flat Lagrangian surfaces in C-1(2). Conversely, every flat Lagrangian surface in C-1(2) is locally congruent to one of the thirty-eight families.
ISSN: 1439-8516
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Geometry Section
× corresponding author
# (joint) last author

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