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Manifolds modelled over free modules over the double numbers

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Abstract

Manifolds over the algebra of double numbers, which include the case of manifolds equipped with a pair of equidimensional supplementary foliations, are studied. To this end, B-holomorphic functions and B-analytic functions on B n, where B denotes the algebra of double numbers, are defined and studied.

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Authors and Affiliations

  1. Institute of Mathematics and Fundamental Physics, CSIC, C/ Serrano 123, 28006, Madrid, Spain

    P. M. Gadea

  2. Laboratoire Emile Picard, C.N.R.S., Université Paul Sabatier, 118 Route De Narbonne, 31062, Toulouse, Cedex, France

    J. Grifone

  3. Institute Of Applied Physics, CSIC, C/ Serrano 144, 28006, Madrid, Spain

    J. Muňoz Masqué

Authors
  1. P. M. Gadea
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  2. J. Grifone
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  3. J. Muňoz Masqué
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Gadea, P.M., Grifone, J. & Muňoz Masqué, J. Manifolds modelled over free modules over the double numbers. Acta Mathematica Hungarica 100, 187–203 (2003). https://doi.org/10.1023/A:1025037325005

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