Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality
Öz
In this paper, SeibergWittenlike equations without selfduality are defined on dimensional manifolds. Then, nontrivial and flat solutions are given to them on . Finally, on realdimensional Kähler manifolds a global solution to these equation is
obtained for a given negative and constant scalar curvature.
Anahtar Kelimeler
Kaynakça
- Bilge, A.H, Dereli, T, Koçak, Ş, Monopole equations on 8-manifolds with Spin(7) holonomy, Communications in Mathematical Physics, 1999, 203(1), 21-30.
- Değirmenci, N, Özdemir, N, Seiberg-Witten like equations on 8-dimensionalmanifolds with structure group Spin(7), Journal of Dynamical System and Geometric Theories, 2009, 7(1), 21-39.
- Donaldson, S.K, Seiberg-Witten equations and 4-manifold topology, Bulletin of the American Mathematical Society, 1996, 33, 45-70.
- Friedrich, T, Dirac operators in Riemannian geometry; Grauate Studies in Mathematics 25, American Mathematical Society, 2000; pp 211.
- Karapazar, Ş, Seiberg-Witten equations on 8-dimensional SU(4)-structure, International Journal of Geometric Methods in Modern Physics, 2013, 10(3), 1220032.
- Morgan, J, Seiberg-Witten Equations and Applications to the topology of Smooth Manifolds; Princeton University Press, 1996; pp 130.
- Naber, G.L, Topology, geometry, and gauge fields; New York: Springer-Verlag, 1996; pp 437.
- Salamon, D, Spin geometry and Seiberg-Witten invariants. Zürich: ETH, 1995; pp 599.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yazarlar
Serhan Eker
*
Türkiye
Yayımlanma Tarihi
28 Aralık 2018
Gönderilme Tarihi
29 Temmuz 2018
Kabul Tarihi
12 Ekim 2018
Yayımlandığı Sayı
Yıl 2018 Cilt: 14 Sayı: 4