(Para)quaternionic geometry, harmonic forms, and stochastical relaxation

Julian Lawrynowicz, Stefano Marchiafava, F. L. Castillo Alvarado, Agnieszka Niemczynowicz

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Both quaternionic and para-quaternionic geometry are important when studying harmonic forms and stochastical relaxation with the help of Fokker-Planck- type or Oguchi-type parabolic equations. In a recent paper the first-named author and H. M. Polatoglou (2012) have shown that the five-dimensional case is the simplest case that the use of para-quaternions is more convenient that the use of quaternions. Now we discuss that case in some detail.

Original languageEnglish
Pages (from-to)205-220
Number of pages16
JournalPublicationes Mathematicae
Volume84
Issue number1-2
DOIs
StatePublished - 2014

Keywords

  • (Para)quaternionic structure
  • Parabolic equation
  • Relaxation

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