The Dirichlet Problem for Harmonic Maps from the Disc into Kahler Manifolds

1993 ◽  
Vol s2-47 (1) ◽  
pp. 182-192 ◽  
Author(s):  
Jie Qing
Keyword(s):  
Dirichlet Problem ◽  
Harmonic Maps ◽  
Kähler Manifolds ◽  
Kahler Manifolds

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.

ON HARMONIC AND PSEUDOHARMONIC MAPS FROM PSEUDO-HERMITIAN MANIFOLDS

2017 ◽  
Vol 234 ◽  
pp. 170-210 ◽  
Author(s):  
TIAN CHONG ◽  
YUXIN DONG ◽  
YIBIN REN ◽  
GUILIN YANG
Keyword(s):  
Riemannian Manifolds ◽  
Harmonic Maps ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Rigidity Results ◽  
Hermitian Manifolds

In this paper, we give some rigidity results for both harmonic and pseudoharmonic maps from pseudo-Hermitian manifolds into Riemannian manifolds or Kähler manifolds. Some foliated results, pluriharmonicity and Siu–Sampson type results are established for both harmonic maps and pseudoharmonic maps.

scholarly journals Stability of harmonic maps of Kähler manifolds

1989 ◽  
Vol 30 (2) ◽  
pp. 579-594 ◽  
Author(s):  
D. Burns ◽  
F. Burstall ◽  
P. De Bartolomeis ◽  
J. Rawnsley
Keyword(s):  
Harmonic Maps ◽  
Kähler Manifolds ◽  
Kahler Manifolds

Harmonic maps from Kähler manifolds

1999 ◽  
Vol 15 (2) ◽  
pp. 277-292 ◽  
Author(s):  
Yuanlong Xin
Keyword(s):  
Harmonic Maps ◽  
Kähler Manifolds ◽  
Kahler Manifolds
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