A Survey on Paracomplex Geometry

  title={A Survey on Paracomplex Geometry},
  author={V. Cruceanu and P. Fortuny and Pedro Mart́ınez Gadea}
We shall call paracomplex geometry the geometry related to the algebra of paracomplex numbers [70] and, mainly, the study of the structures on differentiable manifolds called paracomplex structures. When we moreover consider a compatible neutral pseudo-Riemannian metric, we have the paraHermitian and para-Kähler structures, and their variants. This subject has been studied, since the first papers by Rashevskij [94], Libermann [69] and Patterson [90] until now, from several different points of… CONTINUE READING
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