Yazar "Koçak, Şahin" için listeleme
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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 ... -
Sonsuz boyutlu Clifford cebirleri
Çelik, Derya, [tarih] (Anadolu Üniversitesi, 2010)Clifford cebirleri matematiğin birçok alanında ve fiziksel uygulamalarda önemli roller oynayan bir konu niteliğindedir. Clifford cebirleri bir vektör uzayı üzerinde simetrik bir bilineer fonksiyon yardımıyla üretilen ... -
Stability of Graphs
Demir, Bünyamin; Deniz, Ali; Koçak, Şahin (Electronic Journal Of Combinatorics, 2009)Positively weighted graphs have a natural intrinsic metric. We consider finite, positively weighted graphs with a positive lower bound for their minimal weights and show that any two such graphs, which are close enough ... -
Strong 2-Calibrations on R-2N
Koçak, Şahin; Özdemir, Yunus (Kinokuniya Co LTD, 2011)Most of the classical calibrations possess a property which does not seem to be recognized. Making this property explicit, we define what we call the strong calibrations and prove that a strong 2-calibration field on R-2n ... -
Strong 2-calibrations on R2n
Koçak, Şahin; Özdemir, Y. (2011)Most of the classical calibrations possess a property which does not seem to be recognized. Making this property explicit, we define what we call the strong calibrations and prove that a strong 2-calibration field on R2n ... -
Tight span of subsets of the plane with the maximum metric
Kılıç, Mehmet; Koçak, Şahin (Academic Press Inc Elsevier Science, 2016)We prove that a nonempty closed and geodesically convex subset of the l(infinity) plane R-infinity(2) is hyperconvex and we characterize the tight spans of arbitrary subsets of R-infinity(2) via this property: Given any ... -
Topolojik uzaylarda örtülmüş grupoidi
Ayas, Nazmi (Anadolu Üniversitesi, 1986)Bu çalışmanın amacı, matematiğin hemen bütün dalları için bir lisan durumuna gelmekte olan kategoriler ve funktorlar hakkında genel bilgiler verdikten sonra, ''örtülüş grupoidi'' adını verdiğimiz özel bir kategori inşa ... -
Tube Formulas for Graph-Directed Fractals
Demir, Bünyamin; Deniz, Ali; Koçak, Şahin; Üreyen, Adem Ersin (World Scientific Publ Co Pte LTD, 2010)Lapidus and Pearse proved recently an interesting formula about the volume of tubular neighborhoods of fractal sprays, including the self-similar fractals. We consider the graph-directed fractals in the sense of graph ... -
Tube Formulas for Self-Similar and Graph-Directed Fractals
Deniz, Ali; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin (Springer, 2013)… -
Tube volumes via functional equations
Deniz, Ali; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin (Springer Basel Ag, 2015)Tube formulas for convex sets and for smooth submanifolds of Euclidean spaces have long been of interest for geometers. In the last two decades there has been great progress on tube formulas for badly behaved spaces such ... -
Volterra tipi dinamik sistemler
Öztürk, Nezahat (Anadolu Üniversitesi, 1988)Bu çalışmada, Lotka-Voolterra dinamik sistemi ya da av-avcı modeli olarak bilinen ve x'=ax-bxy y'=cxy-dy a,b,c,d] 0 diferansiyel denklem sistemi ile verilen matematiksel model tanıtıldıktan sonra, katsayıların pozitif ... -
Zinc-Deficiency in Cirrhosis
Ozsoylu, S; Koçak, Şahin; Akgün, N (British Med Journal Publ Group, 1991)…