scholarly journals A second main theorem of Nevanlinna theory for meromorphic functions on complete Kähler manifolds

2008 ◽  
Vol 60 (2) ◽  
pp. 471-493 ◽  
Author(s):  
Atsushi ATSUJI
Keyword(s):  
Nevanlinna Theory ◽  
Meromorphic Functions ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Second Main Theorem

Nevanlinna-type theorems for meromorphic functions on non-positively curved Kähler manifolds

2018 ◽  
Vol 30 (1) ◽  
pp. 171-189
Author(s):  
Atsushi Atsuji
Keyword(s):  
Ricci Curvature ◽  
Remainder Term ◽  
Nevanlinna Theory ◽  
Meromorphic Functions ◽  
Kähler Manifolds ◽  
Characteristic Functions ◽  
Kahler Manifolds ◽  
Second Main Theorem ◽  
Positively Curved

Abstract We give a second main theorem of Nevanlinna theory on complete non-positively curved Kähler manifolds. Its remainder term depends only on Ricci curvature of the manifolds except for the terms depending only on the characteristic functions.

Sunada transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds

2020 ◽  
Vol 72 (1) ◽  
pp. 127-147
Author(s):  
Carolyn Gordon ◽  
Eran Makover ◽  
Bjoern Muetzel ◽  
David Webb
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds

Holomorphically projective mappings between generalized m-parabolic Kähler manifolds

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4865-4873 ◽  
Author(s):  
Milos Petrovic
Keyword(s):  
Linear Systems ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Covariant Derivatives ◽  
Linearly Independent ◽  
Non Linear ◽  
Non Linear Systems ◽  
Curvature Tensors ◽  
Derivatives Of

Generalized m-parabolic K?hler manifolds are defined and holomorphically projective mappings between such manifolds have been considered. Two non-linear systems of PDE?s in covariant derivatives of the first and second kind for the existence of such mappings are given. Also, relations between five linearly independent curvature tensors of generalized m-parabolic K?hler manifolds with respect to these mappings are examined.

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