To the question about the maximum principle for manifolds over local algebras |
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Authors: | T I Gaisin |
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Institution: | (1) Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University, Russia |
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Abstract: | We consider manifolds over a local algebra A. We study basis functions of the canonical foliation which represent the real parts of A-differentiable functions. We prove that these are constant functions. We find the form of A-differentiable functions on some manifolds over local algebras, in particular, on compact manifolds. We obtain an estimate for the dimension of some spaces of 1-forms and analogs of the above results for the projective mappings of foliations. |
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Keywords: | manifolds over algebras foliation projective mapping basis form |
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