scholarly journals On the holomorphic equivalence of bounded domains in complete Kähler manifolds of nonpositive curvature

1983 ◽  
Vol 35 (2) ◽  
pp. 273-278 ◽  
Author(s):  
Seiki NISHIKAWA ◽  
Kiyoshi SHIGA
1992 ◽  
Vol 15 (4) ◽  
pp. 741-752
Author(s):  
Gr. Tsagas ◽  
G. Dimou

This paper deals with the corresponding solvable Lie algebra to each of non-symmetric homogeneous bounded domains inℂ4andℂ5by special set of matrices. Some interesting properties of Kähler manifolds are found. The theory ofs-structure on a complete Riemann manifold is also studied.


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

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4865-4873 ◽  
Author(s):  
Milos Petrovic

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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