scholarly journals Liouville Theorems for Holomorphic Maps on Pseudo-Hermitian Manifolds

2022 ◽  
Vol 32 (2) ◽  
Author(s):  
Haojie Chen ◽  
Yibin Ren
Keyword(s):  
Holomorphic Maps ◽  
Liouville Theorems ◽  
Hermitian Manifolds

Harmonicity of Holomorphic Maps Between Almost Hermitian Manifolds

2009 ◽  
Vol 52 (1) ◽  
pp. 18-27 ◽  
Author(s):  
Domingo Chinea
Keyword(s):  
Holomorphic Maps ◽  
Hermitian Manifolds ◽  
Almost Hermitian Manifolds ◽  
New Criterion

AbstractIn this paper we study holomorphic maps between almost Hermitian manifolds. We obtain a new criterion for the harmonicity of such holomorphic maps, and we deduce some applications to horizontally conformal holomorphic submersions.

A SCHWARZ LEMMA FOR -HARMONIC MAPS AND THEIR APPLICATIONS

2017 ◽  
Vol 96 (3) ◽  
pp. 504-512 ◽  
Author(s):  
QUN CHEN ◽  
GUANGWEN ZHAO
Keyword(s):  
Riemannian Manifolds ◽  
Harmonic Maps ◽  
Schwarz Lemma ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Holomorphic Maps ◽  
Hermitian Manifolds ◽  
Almost Hermitian Manifolds ◽  
Almost Kähler

We establish a Schwarz lemma for $V$-harmonic maps of generalised dilatation between Riemannian manifolds. We apply the result to obtain corresponding results for Weyl harmonic maps of generalised dilatation from conformal Weyl manifolds to Riemannian manifolds and holomorphic maps from almost Hermitian manifolds to quasi-Kähler and almost Kähler manifolds.

scholarly journals Interpolation by holomorphic maps from the disc to the tetrablock

2021 ◽  
Vol 498 (2) ◽  
pp. 124951
Author(s):  
Hadi O. Alshammari ◽  
Zinaida A. Lykova
Keyword(s):  
Holomorphic Maps
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