Ayse H. Bilge

Self-dual Yang-Mills fields in eight dimensions

AbstractStrongly self-dual Yang-Mills fields in even-dimensional spaces are characterised by a set of constraints on the eigenvalues of the Yang-Mills fieldsFμν. We derive a topological bound on R8,

A novel on-line method for single station prediction and forecasting of the ionospheric critical frequencyfoF2 1 hour ahead

\int_M {\left( {F, F} \right)} ^2 \geqslant k \int_M {p_{\text{1}}^{\text{2}} }

Seiberg-Witten type monopole equations on 8-manifolds with Spin(7) holonomy as minimizers of a quadratic action

, wherep1 is the first Pontryagin class of the SO(n) Yang-Mills bundle, andk is a constant. Strongly self-dual Yang-Mills fields realise the lower bound.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

Exact Static Solutions for Scalar Fields Coupled to Gravity in (3 + 1)-Dimensions

F_{\mu \nu}

Development of algorithms and software for forecasting, nowcasting and variability of TEC

. We derive a topological bound on

Toward the Classification of Scalar Nonpolynomial Evolution Equations: Polynomiality in Top Three Derivatives

{\bf R}^8

Seiberg-Witten Equations on R^8

,

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

\int_{M} ( F,F )^2 \geq k \int_{M} p_1^2