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Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality

Cilt: 14 Sayı: 4 28 Aralık 2018
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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

  1. 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.
  2. 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.
  3. Donaldson, S.K, Seiberg-Witten equations and 4-manifold topology, Bulletin of the American Mathematical Society, 1996, 33, 45-70.
  4. Friedrich, T, Dirac operators in Riemannian geometry; Grauate Studies in Mathematics 25, American Mathematical Society, 2000; pp 211.
  5. Karapazar, Ş, Seiberg-Witten equations on 8-dimensional SU(4)-structure, International Journal of Geometric Methods in Modern Physics, 2013, 10(3), 1220032.
  6. Morgan, J, Seiberg-Witten Equations and Applications to the topology of Smooth Manifolds; Princeton University Press, 1996; pp 130.
  7. Naber, G.L, Topology, geometry, and gauge fields; New York: Springer-Verlag, 1996; pp 437.
  8. Salamon, D, Spin geometry and Seiberg-Witten invariants. Zürich: ETH, 1995; pp 599.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

28 Aralık 2018

Gönderilme Tarihi

29 Temmuz 2018

Kabul Tarihi

12 Ekim 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 14 Sayı: 4

Kaynak Göster

APA
Eker, S. (2018). Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality. Celal Bayar University Journal of Science, 14(4), 429-433. https://doi.org/10.18466/cbayarfbe.448934
AMA
1.Eker S. Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality. Celal Bayar University Journal of Science. 2018;14(4):429-433. doi:10.18466/cbayarfbe.448934
Chicago
Eker, Serhan. 2018. “Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality”. Celal Bayar University Journal of Science 14 (4): 429-33. https://doi.org/10.18466/cbayarfbe.448934.
EndNote
Eker S (01 Aralık 2018) Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality. Celal Bayar University Journal of Science 14 4 429–433.
IEEE
[1]S. Eker, “Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality”, Celal Bayar University Journal of Science, c. 14, sy 4, ss. 429–433, Ara. 2018, doi: 10.18466/cbayarfbe.448934.
ISNAD
Eker, Serhan. “Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality”. Celal Bayar University Journal of Science 14/4 (01 Aralık 2018): 429-433. https://doi.org/10.18466/cbayarfbe.448934.
JAMA
1.Eker S. Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality. Celal Bayar University Journal of Science. 2018;14:429–433.
MLA
Eker, Serhan. “Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality”. Celal Bayar University Journal of Science, c. 14, sy 4, Aralık 2018, ss. 429-33, doi:10.18466/cbayarfbe.448934.
Vancouver
1.Serhan Eker. Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality. Celal Bayar University Journal of Science. 01 Aralık 2018;14(4):429-33. doi:10.18466/cbayarfbe.448934