scholarly journals Fine resolution of the sheaf of germs of holomorphic projective vector fields on two dimensional protectively flat complex manifold

2005 ◽  
Vol 131 (30) ◽  
pp. 9-27
Author(s):  
Olivera Milenkovic
Keyword(s):  
Complex Manifold ◽  
Vector Fields ◽  
Two Dimensional ◽  
Projective Vector ◽  
Fine Resolution

A Characterization of Harmonic $$L^r$$-Vector Fields in Two-Dimensional Exterior Domains

2019 ◽  
Vol 30 (4) ◽  
pp. 3742-3759 ◽  
Author(s):  
Matthias Hieber ◽  
Hideo Kozono ◽  
Anton Seyfert ◽  
Senjo Shimizu ◽  
Taku Yanagisawa
Keyword(s):  
Vector Fields ◽  
Two Dimensional ◽  
Exterior Domains

SPECIAL PROJECTIVE ALGEBRA OF RANDERS METRICS OF CONSTANT S-CURVATURE

2012 ◽  
Vol 09 (04) ◽  
pp. 1250034 ◽  
Author(s):  
M. RAFIE-RAD
Keyword(s):  
Vector Fields ◽  
Finsler Space ◽  
Finsler Geometry ◽  
Lie Bracket ◽  
Finite Dimensional ◽  
Projective Vector ◽  
Projective Algebra ◽  
Local Characterization ◽  
Randers Metrics

The collection of all projective vector fields on a Finsler space (M, F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra. A specific Lie sub-algebra of projective algebra of Randers spaces (called the special projective algebra) of non-zero constant S-curvature is studied and it is proved that its dimension is at most [Formula: see text]. Moreover, a local characterization of Randers spaces whose special projective algebra has maximum dimension is established. The results uncover somehow the complexity of projective Finsler geometry versus Riemannian geometry.

scholarly journals Two-dimensional global manifolds of vector fields

1999 ◽  
Vol 9 (3) ◽  
pp. 768-774 ◽  
Author(s):  
Bernd Krauskopf ◽  
Hinke Osinga
Keyword(s):  
Vector Fields ◽  
Two Dimensional
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