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In this paper, Seiberg-Witten-like equations are written down on $3$-manifolds. Then, it has been proved that the $L^{2}$-solutions of these equations are trivial on $\mathbb{R}^3$. Finally, a global solution is obtained on the strictly pseudoconvex $CR$-3 manifolds for a given constant negative scalar curvature.
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참고문헌 (27)
참고문헌 신청
Helga Baum / 1999 / Lorentzian twistor spinors and CR-geometry / Differential Geometry and its Applications 11(1):69~96
D. E. Blair / 2002 / Riemannian geometry of contact and symplectic manifolds / Birkhauser Boston, Inc.
A. L. CAREY / 1997 / Seiberg-Witten monopoles in three dimensions / Letters in Mathematical Physics 39(3):213~228
N. Degirmenci / 2015 / Seiberg-Witten-like equations on 6-dimensional SU(3)-manifolds / Balkan J. Geom. Appl 20(2):23~31
N. Degirmenci / 2005 / Seiberg-Witten-like equations on 7-manifolds with G2-structure / J. Nonlinear Math. Phys 12(4):457~461
D. E. Blair / 2002 / Riemannian geometry of contact and symplectic manifolds / Birkhauser Boston, Inc.
A. L. CAREY / 1997 / Seiberg-Witten monopoles in three dimensions / Letters in Mathematical Physics 39(3):213~228
N. Degirmenci / 2015 / Seiberg-Witten-like equations on 6-dimensional SU(3)-manifolds / Balkan J. Geom. Appl 20(2):23~31
N. Degirmenci / 2005 / Seiberg-Witten-like equations on 7-manifolds with G2-structure / J. Nonlinear Math. Phys 12(4):457~461
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