Browsing by Author "Koçak, Şahin"
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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 Pi, i = 1,..., n and with the distance functions d(ij) The Gromov Product of the "triangle" (Pi, Pj, Pk) with vertices Pt, Pj and Pk at the vertex Pi is defined by ... 
Gromov product structures, quadrangle structures and split metric spaces
Bilge, Ayşe Hümeyra; Çelik, Derya; Koçak, Şahin; Rezaeinazhad, Arash Mohammadian (Elsevier B.V., 202106)Let (X,d) be a finite metric space with elements Pi, i=1,…,n and with distances dij≔d(Pi,Pj) for i,j=1,…,n. The “Gromov product” Δijk, is defined as [Formula presented]. (X,d) is called Δgeneric, if, for each fixed i, the ... 
Maximal linear subspaces of strong selfdual 2forms and the Bonan 4form
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (Elsevier Science Inc, 2011)The notion of selfduality of 2forms in 4dimensions plays an eminent role in many areas of mathematics and physics, but although the 2forms have a genuine meaning related to curvature and gaugefieldstrength in higher ... 
Selfduality in higher dimensions
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (IOP Publishing Ltd, 2017)Let w be a 2form on a 2n dimensional manifold. In previous work, we called w "strong selfdual, if the eigenvalues of its matrix with respect to an orthonormal frame are equal in absolute value. In a series of papers, we ...