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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Mat. Fiz. Anal. Geom., 2003 Volume 10, Number 4, Pages 498–504 (Mi jmag264)

This article is cited in 3 papers

On pseudospherical congruencies in $E^4$

Vasyl Gorkavyy

Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine

Abstract: Geometric Bäcklund transformations of pseudospherical surfaces in four-dimensional Euclidean space are studied. An analog of the classical theorems by Bäcklund, Tenenblat and Terng is proved.

Received: 01.08.2003

Language: English



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