A Survey on Paracomplex Geometry

@inproceedings{CruceanuASO,
  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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References

Publications referenced by this paper.
Showing 1-10 of 117 references

On orbit structure of compactifications of parahermitian symmetric spaces

  • S. Kaneyuki
  • Japan. J. Math. 13
  • 1987
Highly Influential
5 Excerpts

Sur le problème d’équivalence de certaines structures infinitésimales

  • P. Libermann
  • Ann. Mat. Pura Appl. (4) 36
  • 1954
Highly Influential
16 Excerpts

Neutral surfaces in neutral four-spaces

  • G. Jensen, M. Rigoli
  • Matematiche (Catania) 45
  • 1991
Highly Influential
4 Excerpts

Structuri hiperbolice pe diverse spatii fibrate

  • C. Bejan
  • Ph. D. Thesis, Iaşi
  • 1990
Highly Influential
6 Excerpts

Spaces of constant paraholomorphic sectional curvature

  • P. M. Gadea, A. Montesinos Amilibia
  • Pacific J. Math. 136
  • 1989
Highly Influential
7 Excerpts

History of non-Euclidean geometries

  • B. A. Rozenfeld
  • Springer-Verlag
  • 1988
Highly Influential
12 Excerpts

Almost paracontact and parahodge structures on manifolds

  • S. Kaneyuki, F. Williams
  • Nagoya Math. J. 99
  • 1985
Highly Influential
4 Excerpts

Paracomplex structures and affine symmetric spaces

  • S. Kaneyuki, M. Kozai
  • Tokyo J. Math. 8
  • 1985
Highly Influential
7 Excerpts

Variétés para-Kähleriennes structurées par une connexion géodesique

  • S. Ianuş, R. Rosca
  • C. R. Acad. Sci. Paris Sér. I Math. 280
  • 1975
Highly Influential
3 Excerpts

Variétés différentiables à coordonnées hypercomplexes

  • A. Crumeyrolle
  • Application à une géométrisation et à une gén…
  • 1962
Highly Influential
5 Excerpts

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