Yazar "Bilge, Ayşe Hümeyra" için Makale Koleksiyonu listeleme
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Canonical bases for real representations of Clifford algebras
Bilge, Ayşe Hümeyra; Koçak, Şahin; Uguz, S. (Elsevier Science Inc, 2006)The well-known classification of the Clifford algebras Cl(r, s) leads to canonical forms of complex and real representations which are essentially unique by virtue of the Wedderburn theorem. For s >= 1 representations of ... -
An equivalence class decomposition of finite metric spaces via Gromov products
Bilge, Ayşe Hümeyra; Çelik, Derya; Koçak, Şahin (Elsevier Science BV, 2017)Let (X, d) be a finite metric space with elements P-i, i = 1,..., n and with the distance functions d(ij) The Gromov Product of the "triangle" (P-i, P-j, P-k) with vertices P-t, P-j and P-k at the vertex Pi is defined by ... -
The geometry of self-dual two-forms
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (Amer Inst Physics, 1997)We show that self-dual two-forms in 2n-dimensional spaces determine a n(2)-n+1-dimensional manifold S-2n and the dimension of the maximal linear subspaces of S-2n is equal To the (Radon-Hurwitz) number of linearly independent ... -
Maximal linear subspaces of strong self-dual 2-forms and the Bonan 4-form
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (Elsevier Science Inc, 2011)The notion of self-duality of 2-forms in 4-dimensions plays an eminent role in many areas of mathematics and physics, but although the 2-forms have a genuine meaning related to curvature and gauge-field-strength in higher ... -
Monopole equations on 8-manifolds with spin(7) holonomy
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (Springer Verlag, 1999)We construct a consistent set of monopole equations on eight-manifolds with Spin(7) holonomy. These equations are elliptic and admit non-trivial solutions including all the 4-dimensional Seiberg-Witten solutions as a special case. -
Monopole Equations on R8: The Energy Integral
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (2000)We discuss the Seiberg-Witten theory in four dimensions and possible generalizations to eight dimensions. We propose an action which is minimized by a set of monopole equations, previously obtained as a generalization of ... -
Seiberg-Witten equations on R8
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (1997)[No abstract available] -
Seiberg-Witten type monopole equations on 8-manifolds with Spin(7) holonomy as minimizers of a quadratic action
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (Springer, 2003)We obtain an elliptic system of monopole equations on 8-manifolds with Spin(7) holonomy by minimizing an action involving negative spinors coupled to an abelian gauge field. -
Self-dual gauge fields in eight dimensions
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (1997)Self-dual gauge fields in even dimensional spaces are characterised by a set of constraints on the eigenvalues of F. We derive a new topological bound (Latin small letter esh sign)M(F, F)2 ? ?M P12 on a compact 8-manifold ...