Research Article

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

Volume: 14 Number: 4 December 28, 2018
EN

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

Abstract

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.

Keywords

References

  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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

December 28, 2018

Submission Date

July 29, 2018

Acceptance Date

October 12, 2018

Published in Issue

Year 2018 Volume: 14 Number: 4

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. CBUJOS. 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 (December 1, 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”, CBUJOS, vol. 14, no. 4, pp. 429–433, Dec. 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 (December 1, 2018): 429-433. https://doi.org/10.18466/cbayarfbe.448934.
JAMA
1.Eker S. Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality. CBUJOS. 2018;14:429–433.
MLA
Eker, Serhan. “Seiberg-Witten-Like Equations on 8-Manifolds Without Self-Duality”. Celal Bayar University Journal of Science, vol. 14, no. 4, Dec. 2018, pp. 429-33, doi:10.18466/cbayarfbe.448934.
Vancouver
1.Serhan Eker. Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality. CBUJOS. 2018 Dec. 1;14(4):429-33. doi:10.18466/cbayarfbe.448934