scholarly journals Dynamics of inflation with mutually orthogonal vector fields in a closed universe

2021 ◽  
Vol 104 (8) ◽  
Author(s):  
Tomoaki Murata ◽  
Tsutomu Kobayashi
Keyword(s):  
Vector Fields ◽  
Closed Universe ◽  
Orthogonal Vector

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.

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

Parallel Computation of Complex Antennas around the Coated Object Using Iterative Vector Fields Technique

2014 ◽  
Vol E97.C (7) ◽  
pp. 661-669
Author(s):  
Ying YAN ◽  
Xunwang ZHAO ◽  
Yu ZHANG ◽  
Changhong LIANG ◽  
Zhewang MA
Keyword(s):  
Parallel Computation ◽  
Vector Fields
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