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math.DG2001
Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator
E. V. Ferapontov
The class of surfaces in 3-space possessing nontrivial deformations which preserve principal directions and principal curvatures (or, equivalently, the shape operator) was investig…
math.DG1999
Transformations of quasilinear systems originating from the projective theory of congruences
E. V. Ferapontov
We continue the investigation of the correspondence between systems of conservation laws and congruences of lines in projective space. Relationship between "additional" conservatio…
math.DG1998
Surfaces with flat normal bundle: an explicit construction
E. V. Ferapontov
An explicit construction of surfaces with flat normal bundle in the Euclidean space (unit hypersphere) in terms of solutions of certain linear system is proposed. In the case of 3-…