Linear bendings of right convex polyhedra, which increase the volume, are considered. Previous results on volume increasing linear bendings by A.D. Milka, D.D. Bleecker, V.A. Alexandrov are improved. For instance, the ...

Класифiковано псевдосферичнi поверхнi в чотиривимiрному евклiдовому просторi з виродженим перетворенням Бiанкi.

Geometric Baacklund transformations of pseudo-spherical surfaces in n-dimensional spaces of constant curvature are studied. An analog of the classical theorems by Baacklund and Tenenblat–Terng is proved.