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A note on proper affine vector fields in Bianchi type IV space-times
Affine vector fields holonomy and decomposability
2010/9/21
Affine vector fields of Bianchi type IV space-times are investigated using holonomy and decomposability, the rank of the 6× 6 Riemann matrix and direct integration technique. From the above study it f...
Shadowing, expansiveness and stability of divergence-free vector fields
divergence-free vector fields math
2010/11/22
Let X be a divergence-free vector field defined on a closed, connected Riemannian manifold. In this paper, we show the equivalence between the following conditions:
1. X is in the C1-interior of th...
Classification of spatially homogeneous rotating space-times according to their conformal vector fields
Direct integration technique Conformal vector field
2010/9/13
Direct integration technique is used to study non conformally flat spatially homogeneous rotating space-times according to their conformal vector fields. It is shown that the above space-times do not ...
Proper homothetic vector fields in Bianchi Type-I Space-Time
proper homothetic vector fields direct integration technique
2009/3/2
A study of proper homothetic vector field in Bianchi type-
1 space-times is given by using direct integration technique. Using the
above mentioned technique we show that the above space-times admit
...
Some properties of distinguished vector fields on Riemannian manifolds
vector fields Riemannian pseudo-Riemannian manifolds
2009/2/7
The vector fields play an important role in Riemannian (or pseudo-Riemannian)
manifolds. In literature it is known the concept of covariant cohomology oper-
ator r‹, where r means the Levi-Civi...
Some properties of distinguished vector fields on Riemannian manifolds
vector fields Riemannian and pseudo-Riemannian manifolds
2009/1/12
The vector fields play an important role in Riemannian (or pseudo-Riemannian)
manifolds. In literature it is known the concept of covariant cohomology oper-
ator r‹, where r means the Levi-Civi...
On Space-Times with commutative parings of vector fields
Commutative parings sachs frame Schwarzchild space-time
2009/1/8
Let (M,g) be general space-time and let S be a Sachs frame over M. In this
paper we use the complex vector´ıal formalism constructed in [2]. If hA , (A =
1, 2, 3, 4) are the null vector f...
Proper homothetic vector fields in Bianchi Type-I Space-Time
proper homothetic vector fields direct integration technique
2009/1/7
A study of proper homothetic vector field in Bianchi type-
1 space-times is given by using direct integration technique. Using the
above mentioned technique we show that the above space-times admit
...
Regularity results for vector fields of bounded distortion and applications
Reverse Inequalities Finite Distortion Vector Fields Div-Curl Vector Fields Elliptic Partial Differential Equations
2008/6/27
Regularity results for vector fields of bounded distortion and applications.