Ju l 2 00 1 Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator

  • Ferapontov E. V. Department
  • Published 2001
The class of surfaces in 3-space possessing nontrivial deformations which preserve principal directions and principal curvatures (or, equivalently, the shape operator) was investigated by Finikov and Gambier as far back as in 1933. We review some of the known examples and results, demonstrate the integrability of the corresponding Gauss-Codazzi equations… CONTINUE READING