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''in the theory of infinitesimal deformations''

A method which can be applied to the case when certain quantities which characterize the deformation of surfaces with positive Gaussian curvature  $  K $
are, in a conjugate-isothermal parametrization, generalized analytic functions (cf. [[Generalized analytic function|Generalized analytic function]]). This makes it possible to reduce the study of the deformation of surfaces with variable  $  K > 0 $
to a definite problem concerning surfaces with  $  K = \textrm{ const } > 0 $, 
whose infinitesimal deformations (cf. [[Infinitesimal deformation|Infinitesimal deformation]]) are described by ordinary analytic functions, thus establishing a far-reaching analogy between the properties of deformations of surfaces with variable and constant positive Gaussian curvature.

====References====
<table><TR><TD valign="top">[1]</TD> <TD valign="top">  I.N. Vekua,   "Generalized analytic functions" , Pergamon  (1962)  (Translated from Russian)</TD></TR></table>