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ArticleOriginal scientific text

Title

Anisotropic complex structure on the pseudo-Euclidean Hurwitz pairs

Authors 1

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Łódź Branch, Narutowicza 56, 90-136 Łódź, Poland

Abstract

The concept of supercomplex structure is introduced in the pseudo-Euclidean Hurwitz pairs and its basic algebraic and geometric properties are described, e.g. a necessary and sufficient condition for the existence of such a structure is found.

Bibliography

  1. A. Hurwitz, Über die Komposition der quadratischen Formen von beliebig vielen Variablen, Nachr. Königl. Gesell. Wiss. Göttingen Math.-Phys. Kl. 1898, 308-316; reprinted in: A. Hurwitz, Mathematische Werke II, Birkhäuser, Basel 1933, 565-571.
  2. A. Hurwitz, Über die Komposition der quadratischen Formen, Math. Ann. 88 (1923), 1-25; reprinted in: A. Hurwitz, Mathematische Werke II, Birkhäuser, Basel 1933, 641-666.
  3. J. Ławrynowicz and J. Rembieliński, Hurwitz pairs equipped with complex structures, in: Seminar on Deformations, Łódź - Warsaw 1982/84, Proceedings, J. Ławrynowicz (ed.), Lecture Notes in Math. 1165, Springer, Berlin 1985, 184-197.
  4. J. Ławrynowicz and J. Rembieliński, Pseudo-Euclidean Hurwitz pairs and the Kałuża-Klein theories, J. Phys. A Math. Gen. 20 (1987), 5831-5848.
  5. J. Ławrynowicz and J. Rembieliński, Supercomplex vector spaces and spontaneous symmetry breaking, in: Seminari di Geometria 1984, CNR ed., Università di Bologna, Bologna 1985, 131-154.
Annales Polonici Mathematici
1991/55/1
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Pages:
225-240
Main language of publication
English
Received
1990-09-05
Published
1991
Exact and natural sciences