An analog of bianchi transformations for two-dimensional surfaces in the space S 3 × ℝ1

Author:

Gor’kavyi V. A.,Nevmerzhitskaya E. N.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference8 articles.

1. Yu. A. Aminov, Geometry of Submanifolds (Naukova Dumka, Kiev, 2002) [in Russian].

2. K. Tenenblat, Transformations of Manifolds and Applications to Differential Equations, in Pitman Monogr. Surveys Pure Appl. Math. (Longman, Harlow, 1998), Vol. 93.

3. L. A. Masal’tsev, “Pseudospherical Bianchi congruences in E 2n−1,” Mat. Fiz. Anal. Geom. 1(3–4), 505–512 (1994).

4. K. Tenenblat and C.-L. Terng, “Bäcklund’s theorem for n-dimensional submanifolds of ℝ2n−1,” Ann. of Math. (2) 111(3), 477–490 (1980).

5. Yu. Aminov and A. Sym, “On Bianchi and Bäcklund transformations of two-dimensional surfaces in E 4,” Math. Phys. Anal. Geom. 3(1), 75–89 (2000).

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