scholarly journals On holomorphic vector fields on compact non-degenerate real hypersurfaces of complex manifolds

1982 ◽  
Vol 11 (1) ◽  
pp. 62-105
Author(s):  
Yutaka SE-ASHI
Keyword(s):  
Vector Fields ◽  
Real Hypersurfaces ◽  
Complex Manifolds ◽  
Holomorphic Vector Fields

Holomorphic Vanishing Theorems on Finsler Holomorphic Vector Bundles and Complex Finsler Manifolds

2018 ◽  
Vol 62 (3) ◽  
pp. 623-641
Author(s):  
Bin Shen
Keyword(s):  
Vector Fields ◽  
Vector Bundles ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Vanishing Theorems ◽  
Complex Manifolds ◽  
Finsler Manifolds ◽  
Holomorphic Vector Fields ◽  
Holomorphic Vector Bundles ◽  
Holomorphic Sections

AbstractIn this paper, we investigate the holomorphic sections of holomorphic Finsler bundles over both compact and non-compact complete complex manifolds. We also inquire into the holomorphic vector fields on compact and non-compact complete complex Finsler manifolds. We get vanishing theorems in each case according to different certain curvature conditions. This work can be considered as generalizations of the classical results on Kähler manifolds and hermitian bundles.

Holomorphic vector fields with simple isolated zeros

1974 ◽  
Vol 208 (2) ◽  
pp. 171-173 ◽  
Author(s):  
Czes Kosniowski
Keyword(s):  
Vector Fields ◽  
Holomorphic Vector Fields
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