We investgate relationship between the monodromy of isometric deformation of CMC-surfaces in the space forms and that of the canonical deformation of CMC surfaces into the other space forms. As an application, we show that the number of isometric closed CMC-surfaces is finite.
"Monodromy of isometric deformations of CMC surfaces." Hiroshima Math. J. 31 (2) 291 - 297, July 2001. https://doi.org/10.32917/hmj/1151105702