On CR-submanifolds of Hermitian manifolds

1979 ◽  
Vol 34 (4) ◽  
pp. 353-363 ◽  
Author(s):  
David E. Blair ◽  
Bang-Yen Chen
Keyword(s):  
Hermitian Manifolds ◽  
Cr Submanifolds

scholarly journals Paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds and semi-Riemannian submersions

2010 ◽  
Vol 8 (4) ◽  
Author(s):  
Stere Ianuş ◽  
Stefano Marchiafava ◽  
Gabriel Vîlcu
Keyword(s):  
Differential Geometry ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Riemannian Submersions ◽  
Hermitian Manifolds ◽  
Cr Submanifolds

AbstractIn this paper we introduce paraquaternionic CR-submanifolds of almost paraquaternionic hermitian manifolds and state some basic results on their differential geometry. We also study a class of semi-Riemannian submersions from paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds.

scholarly journals Harmonic and holomorphic 1-forms on compact balanced Hermitian manifolds

2001 ◽  
Vol 14 (1) ◽  
pp. 79-93 ◽  
Author(s):  
Georgi Ganchev ◽  
Stefan Ivanov
Keyword(s):  
Hermitian Manifolds

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.

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