Para-Kählerian manifolds carrying a pair of concurrent self-orthogonal vector fields

1977 ◽  
Vol 46 (1) ◽  
pp. 205-215 ◽  
Author(s):  
R. Rosca
Keyword(s):  
Vector Fields ◽  
Orthogonal Vector ◽  
Kählerian Manifolds

scholarly journals CONFORMAL DERIVATIVE AND CONFORMAL TRANSPORTS OVER $\bm{({\bar L}_n,g)}$-SPACES

2000 ◽  
Vol 15 (05) ◽  
pp. 679-695 ◽  
Author(s):  
S. MANOFF
Keyword(s):  
Vector Field ◽  
Differential Operator ◽  
Harmonic Oscillator ◽  
Vector Fields ◽  
Gravitational Theory ◽  
Orthogonal Vector ◽  
Special Cases

Transports preserving the angle between two contravariant vector fields but changing their lengths proportional to their own lengths are introduced as "conformal" transports and investigated over [Formula: see text]-spaces. They are more general than the Fermi–Walker transports. In an analogous way as in the case of Fermi–Walker transports a conformal covariant differential operator and its conformal derivative are defined and considered over [Formula: see text]-spaces. Different special types of conformal transports are determined inducing also Fermi–Walker transports for orthogonal vector fields as special cases. Conditions under which the length of a non-null contravariant vector field could swing as a homogeneous harmonic oscillator are established. The results obtained regardless of any concrete field (gravitational) theory could have direct applications in such types of theories.

scholarly journals Kahlerian manifolds related in H-projective recurrent curvature killing vector fields with vectorial fields

2021 ◽  
Vol 9 (4) ◽  
pp. 435-440
Keyword(s):  
Vector Fields ◽  
Killing Vector ◽  
Complex Structures ◽  
Killing Vector Fields ◽  
Geometrical Properties ◽  
Projective Transformations ◽  
Almost Complex Structures ◽  
Almost Complex ◽  
Recurrent Curvature ◽  
Kählerian Manifolds

Izumi and Kazanari [2], has calculated and defined on infinitesimal holomorphically projective transformations in compact Kaehlerian manifolds. Also, Malave Guzman [3], has been studied transformations holomorphic ammeters projective equivalentes. After that, Negi [5], have studied and considered some problems concerning Pseudo-analytic vectors on Pseudo-Kaehlerian Manifolds. Again, Negi, et. al. [6],has defined and obtained an analytic HP-transformation in almost Kaehlerian spaces. In this paper we have measured and calculated a Kahlerian manifolds related in H-projective recurrent curvature killing vector fields with vectorial fields and their holomorphic propertiesEinsteinian and the constant curvature manifoldsare established.Kaehlerian holomorphically projective recurrent curvature manifolds with almost complex structures by using the geometrical properties of the harmonic and scalar curvatures calculated overkilling vectorial fieldsare obtained

On topological properties of orthogonal vector fields

2011 ◽  
Vol 32 (2) ◽  
pp. 125-127 ◽  
Author(s):  
G. D. Lugovaya ◽  
A. N. Sherstnev
Keyword(s):  
Vector Fields ◽  
Topological Properties ◽  
Orthogonal Vector

Description of orthogonal vector fields over W*-algebra of type I 2

2015 ◽  
Vol 59 (4) ◽  
pp. 28-37 ◽  
Author(s):  
G. D. Lugovaya ◽  
A. N. Sherstnev
Keyword(s):  
Vector Fields ◽  
Type I ◽  
Orthogonal Vector
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