Abstract
The present paper applies the characteristic set method of algebraic differential polynomials to give a mechanical procedure which permits us to prove non-trivial theorems in the local theory of surfaces. By this method, we have discovered a new relation between the first and second fundamental forms of a surface in the case this surface contains no umbilici. A few examples are given to illustrate the method.
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This work is supported by Fonds zur Förderung der wiss. Forschung, Project P9181-TEC POSSO.
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Li, Z. Mechanical theorem proving in the local theory of surfaces. Ann Math Artif Intell 13, 25–46 (1995). https://doi.org/10.1007/BF01531322
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DOI: https://doi.org/10.1007/BF01531322