Ribaucour transformations on Riemannian space forms in Lorentzian space form
Commun. Korean Math. Soc. 2006 Vol. 21, No. 4, 729-737
Printed December 1, 2006
Joonsang Park
Dongguk University
Abstract : We study Ribaucour transformations on nondegenerate local isometric immersions of Riemannian space forms into Lorentzian space forms with flat normal bundles. They can be explained by dressing actions on the solution space of Lorentzian Grassmannian systems.
Keywords : isometric immersion, space forms, flat connection, nondegenerate, Lorentzian Grassmannian system
MSC numbers : 57N35
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