Yazar "Bilge, Ayşe Hümeyra" için 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 ... -
Determining the Critical Point of a Sigmoidal Curve via its Fourier Transform
Bilge, Ayşe Hümeyra; Özdemir, Yunus (IOP Publishing LTD, 2016)A sigmoidal curve y(t) is a monotone increasing curve such that all derivatives vanish at infinity. Let t(n) be the point where the nth derivative of y(t) reaches its global extremum. In the previous work on sol-gel ... -
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 ... -
Self-dual Yang-Mills fields in eight dimensions
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (Kluwer Academic Publ, 1996)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 F-mu nu. We derive a topological bound on R(8), integral(M)(F, F)(2) ... -
Self-duality in higher dimensions
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (IOP Publishing LTD, 2017)Let w be a 2-form on a 2n dimensional manifold. In previous work, we called w "strong self-dual, if the eigenvalues of its matrix with respect to an orthonormal frame are equal in absolute value. In a series of papers, we ...
