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J. Korean Math. Soc. 2008; 45(6): 1577-1590

Printed November 1, 2008

Copyright © The Korean Mathematical Society.

Ribaucour transformations on Lorentzian space forms in Lorentzian space forms

Joonsang Park

Dongguk University

Abstract

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We study Ribaucour transformations on nondegenerate local isometric immersions of Lorentzian space forms into Lorentzian space forms with the same sectional curvatures which have flat normal bundles. They can be associated to dressing actions on the solution space of Lorentzian Grassmannian systems.

Keywords: Lorentzian space forms, Ribaucour transformation, flat connection, nondegenerate, Lorentzian Grassmannian system

MSC numbers: 57N35

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