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

2013/06/05 by Degirmenci, Nedim, Bulut, Senay
#15A66 #58Jxx #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1306.1008

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.

Related

• Perturbations of the metric in Seiberg-Witten equations
• U(1) Connection, Nonlinear Dirac-like Equations and Seiberg-Witten Equations
• Geometric connections and geometric Dirac operators on contact manifolds
• Solutions to the Seiberg-Witten equations in all dimensions
• Seiberg-Witten equations in all dimensions