15 citations · 83 across the 35 of their papers we have counts for
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The Geometry of Self-Dual Gauge Fields
A. H. Bilge, T. Dereli, Ş. Koçak
Self-dual 2-forms in D=2n dimensions are characterised by an eigenvalue criterion. The equivalence of various definitions of self-duality is proven. We show that the self-dual 2-fo…
Classification of Integrable Evolution Equations of the Form
Ayse Humeyra Bilge
We obtain the classification of integrable equations of the form using the formal symmetry method of Mikhailov et al [A.V.Mikhailov, A.B.Shabat an…
The Geometry of Self-dual 2-forms
A. H. Bilge, T. Dereli, Ş. Koçak
We show that self-dual 2-forms in 2n dimensional spaces determine a dimensional manifold and the dimension of the maximal linear subspaces of ${\cal S}_{2…
On the Solution and Ellipticity Properties of the Self-duality equations of Corrigan et al in Eight Dimensions
Ayse Humeyra Bilge
We show that the two sets of self-dual Yang-Mills equations in 8-dimensions proposed in (E.Corrigan, C.Devchand, D.B.Fairlie and J.Nuyts, {\it Nuclear Physics} {\bf B214}, 452-464,…
Self-duality in Dimensions : Equivalence of Various Definitions, and an Upper Bound for
Ayse Humeyra Bilge
We show that the self-duality defined in [Trautman, Int.J.Theor.Phys.,{\bf 16},561 (1977)] is equivalent to strong self-duality defined in [Bilge, Dereli and Kocak, Lett.Math.Phys.…
Self-Dual Yang-Mills Fields in Eight Dimensions
A. H. Bilge, T. Dereli, S. Kocak
Strongly self-dual Yang-Mills fields in even dimensional spaces are characterised by a set of constraints on the eigenvalues of the Yang-Mills fields . We derive a topologi…