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math.DG2013
Geometric characterization and classification of Bäcklund transformations of sine-Gordon type
Jeanne N. Clelland, Thomas A. Ivey
We begin by considering several properties commonly (but not universally) possessed by Bäcklund transformations between hyperbolic Monge-Ampère equations: wavelike nature of the un…
math.DG2013
Hypersurfaces in and with two distinct principal curvatures
Thomas A. Ivey, Patrick J. Ryan
It is known that hypersurfaces in or for which the number of distinct principal curvatures satisfied must belong to a standard list of Hopf hypersurface…