## Abstract

We show that the notion of strong self-duality of 2-forms in dimensions 2n, defined by the equality of the absolute values of the eigenvalues of the matrix of ω with respect to an orthonormal basis (Bilge et al. 1996a), is equivalent to the self-duality in the Hodge sense of ω^{n/2} (used in Grossman et al. 1984) and to the equality *ω = kω^{n-1} (used in Trautman 1977). We show that the octonionic instanton solution of Grossman et al. (1984), is uniquely determined from the minimality requirement of the second Pontrjagin number p_{2}.

Original language | English |
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Pages (from-to) | 247-253 |

Number of pages | 7 |

Journal | Bulletin of the Technical University of Istanbul |

Volume | 51 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1999 |

### Funding

Acknowledgements This work is partially supported by the Turkish Scienti"c and Technological Research Council, TUBITAK. We thank Professor S, ahin Koiak for valuable discussions.

Funders | Funder number |
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TUBITAK | |

Turkish Scienti"c and Technological Research Council |

## Keywords

- First Pontrjagin number
- Hodge map
- Octonionic instanton solution
- Self-duality
- Yang Mills action