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

scholarly journals On some compact almost Kähler locally symmetric space

1998 ◽  
Vol 21 (1) ◽  
pp. 69-72 ◽  
Author(s):  
Takashi Oguro
Keyword(s):  
Symmetric Space ◽  
Scalar Curvature ◽  
Kähler Manifold ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Locally Symmetric Space ◽  
Kahler Manifold ◽  
Almost Kähler

In the framework of studying the integrability of almost Kähler manifolds, we prove that if a compact almost Kähler locally symmetric spaceMis a weakly ,∗-Einstein vnanifold with non-negative ,∗-scalar curvature, thenMis a Kähler manifold.

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.

scholarly journals On certain four-dimensional almost Kähler manifolds

2007 ◽  
Vol 108 (1) ◽  
pp. 7-18
Author(s):  
Włodzimierz Jelonek
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Almost Kähler

scholarly journals On the cohomology of almost Kähler manifolds

2017 ◽  
Vol 116 ◽  
pp. 146-151 ◽  
Author(s):  
Giuliana Belluscio ◽  
Adriano Tomassini
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Almost Kähler
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