Seiberg-Witten Like equations on 5-dimensional contact metric manifolds

Nedim Degirmenci; Senay Bulut

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arXiv · 1306.1008

Seiberg-Witten Like equations on 5-dimensional contact metric manifolds

Nedim Degirmenci·Senay Bulut

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Abstract

In this paper, we write down Seiberg-Witten equations on contact metric manifolds of dimension 5. Any contact metric manifold has a spin^c structure. For Dirac equation we use Dirac type operators associated to the generalized Tanaka-Webster connection on spin^c spinor bundle of a contact metric manifold. For curvature equation we need to self-duality concept. Self-duality concept is significant on odd dimensional manifolds, particularly, on 5-dimensional contact manifolds. Finally, we give a global solution to these equations on strictly pseudoconvex CR manifolds.

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Nedim Degirmenci, Senay Bulut. 2013-06-05. Seiberg-Witten Like equations on 5-dimensional contact metric manifolds. https://arxiv.org/abs/1306.1008

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