Lectures on Pluripotential Theory on Compact Hermitian Manifolds

2019 ◽  
pp. 1-56
Author(s):  
Sławomir Dinew
Keyword(s):  
Pluripotential Theory ◽  
Hermitian Manifolds

Weighted pluripotential theory in C N

2003 ◽  
Vol 125 (1) ◽  
pp. 57-103 ◽  
Author(s):  
Thomas Bloom ◽  
Norman Levenberg
Keyword(s):  
Pluripotential Theory

scholarly journals Open problems in pluripotential theory

2016 ◽  
Vol 61 (7) ◽  
pp. 902-930 ◽  
Author(s):  
S. Dinew ◽  
V. Guedj ◽  
A. Zeriahi
Keyword(s):  
Open Problems ◽  
Pluripotential Theory

Weak solutions of the Monge–Ampère equation on compact Hermitian manifolds

2017 ◽  
Vol 28 (09) ◽  
pp. 1740002
Author(s):  
Sławomir Kołodziej
Keyword(s):  
Weak Solutions ◽  
A Priori Estimates ◽  
A Priori ◽  
Stability Of Solutions ◽  
Hermitian Manifolds ◽  
Priori Estimates ◽  
Existence And Stability ◽  
Monge Ampere

In this paper, we describe how pluripotential methods can be applied to study weak solutions of the complex Monge–Ampère equation on compact Hermitian manifolds. We indicate the differences between Kähler and non-Kähler setting. The results include a priori estimates, existence and stability of solutions.

scholarly journals On real bisectional curvature for Hermitian manifolds

2018 ◽  
Vol 371 (4) ◽  
pp. 2703-2718 ◽  
Author(s):  
Xiaokui Yang ◽  
Fangyang Zheng
Keyword(s):  
Bisectional Curvature ◽  
Hermitian Manifolds
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