Hermitian Yang–Mills–Higgs Metrics on Complete Kähler Manifolds

2005 ◽  
Vol 57 (4) ◽  
pp. 871-896 ◽  
Author(s):  
Xi Zhang
Keyword(s):  
Dirichlet Problem ◽  
Einstein Equation ◽  
Existence Results ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Vortex Equation ◽  
Vortex Equations ◽  
Yang Mills

AbstractIn this paper, first, we will investigate the Dirichlet problem for one type of vortex equation, which generalizes the well-known Hermitian Einstein equation. Secondly, we will give existence results for solutions of these vortex equations over various complete noncompact Kähler manifolds.

Coupled Vortex Equations on Complete Kähler Manifolds

2008 ◽  
Vol 51 (3) ◽  
pp. 467-480
Author(s):  
Yue Wang
Keyword(s):  
Symmetric Spaces ◽  
Existence Results ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Convex Domains ◽  
Hermitian Symmetric Spaces ◽  
Vortex Equations ◽  
Curved Manifolds ◽  
Pseudo Convex ◽  
Simply Connected

AbstractIn this paper, we first investigate the Dirichlet problem for coupled vortex equations. Secondly, we give existence results for solutions of the coupled vortex equations on a class of complete noncompact Kähler manifolds which include simply-connected strictly negative curved manifolds, Hermitian symmetric spaces of noncompact type and strictly pseudo-convex domains equipped with the Bergmann metric.

scholarly journals TOPOLOGICAL FIELD THEORY OF VORTICES OVER CLOSED KÄHLER MANIFOLD

1995 ◽  
Vol 10 (30) ◽  
pp. 4371-4385
Author(s):  
HYUK-JAE LEE
Keyword(s):  
Field Theory ◽  
Vortex Pair ◽  
Kähler Manifolds ◽  
Topological Field Theory ◽  
Kahler Manifolds ◽  
Topological Theory ◽  
Vortex Equations ◽  
Pair Model ◽  
Topological Field ◽  
Component Direction

We show that the vortex equations of the n-dimensional closed Kähler manifolds can be derived from Einstein-Hermitian equations of the (n+1)-dimensional closed Kähler manifolds by setting invariance under translation in the (n+1)th component direction. We construct the topological theory about the vortex pair model through the dimensional reduction of the topological BRST structure.

scholarly journals Topological Yang-Mills theory with two fermionic charges. A superfield approach on Kähler manifolds

1996 ◽  
Vol 462 (2-3) ◽  
pp. 493-523 ◽  
Author(s):  
H.D. Dahmen ◽  
S. Marculescu ◽  
T. Portmann
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Yang Mills

scholarly journals Yang-Mills instantons on cones and sine-cones over nearly Kähler manifolds

2011 ◽  
Vol 2011 (9) ◽  
Author(s):  
Karl-Philip Gemmer ◽  
Olaf Lechtenfeld ◽  
Christoph Nölle ◽  
Alexander D. Popov
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Yang Mills ◽  
Nearly Kähler ◽  
Nearly Kähler Manifolds

scholarly journals Homogeneous almost-Kähler manifolds and the Chern–Einstein equation

2019 ◽  
Vol 296 (1-2) ◽  
pp. 831-846
Author(s):  
Dmitri V. Alekseevsky ◽  
Fabio Podestà
Keyword(s):  
Einstein Equation ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Almost Kähler
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