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

Authors : Nedim DEĞİRMENCİ, Şenay BULUT

Pages : 812-818

Doi:10.3906/mat-1303-34

View : 10 | Download : 3

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, we write Seiberg--Witten-like equations on contact metric manifolds of dimension 5. Since any contact metric manifold has a Spinc-structure, we use the generalized Tanaka--Webster connection on a Spinc spinor bundle of a contact metric manifold to define the Dirac-type operators and write the Dirac equation. The self-duality of 2-forms needed for the curvature equation is defined by using the contact structure. These equations admit a nontrivial solution on 5-dimensional strictly pseudoconvex CR manifolds whose contact distribution has a negative constant scalar curvature.
Keywords : Seiberg Witten equations, spinor, Dirac operator, contact metric manifold, self duality