Integrable Anisotropic Evolution Equations on a Sphere
  V.V. Sokolov's modifying symmetry approach is applied to anisotropic evolution equations of the third order on the n-dimensional sphere. The main result is a complete classification of such equations. Auto-B\"acklund transformations are also found for all equations. 
Anatoly G. Meshkov and Maxim Ju. Balakhnev