arXiv subjects

Ayse Humeyra Bilge

Publications and source records attributed to Ayse Humeyra Bilge.

20 records · Page 2Linked to original sources

arXiv1996

Self-duality in Dimensions $2n>4$: Equivalence of Various Definitions, and an Upper Bound for $p_2$

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., {\bf 36}, 301-309, (1996)] and we obtain an upper bound on $\int (p_2)^{n}$, where $p_2$ is the second Pontrjagin class of an $SO(N)$ bundle over a $8n$ dimensional manifold.

dg-ga↗

arXiv1995

An Explicit Construction of Self-dual 2-forms in Eight Dimensions

The geometry of self-dual 2-forms in eight dimensions is studied. These 2-forms determine an $n^2-n+1$ dimensional manifold ${\cal S}_{2n}$. We prove that for add $n$, it has only one dimensionallinear subspaces. In eight dimensions, the self-dual forms of Corrigan et al constitue a seven dimensional linear subspace of ${\cal S}_8$, among many other intersting linear subspaces.

hep-th↗