Critical point equation and closed conformal vector fields

2020 ◽  
Vol 293 (12) ◽  
pp. 2299-2305
Author(s):  
J. F. da Silva Filho
Keyword(s):  
Critical Point ◽  
Vector Fields ◽  
Conformal Vector ◽  
Conformal Vector Fields ◽  
Point Equation ◽  
Critical Point Equation

Conformal Vector Fields and Ricci Soliton Structures on Natural Riemann Extensions

2021 ◽  
Vol 18 (2) ◽  
Author(s):  
Mohamed Tahar Kadaoui Abbassi ◽  
Noura Amri ◽  
Cornelia-Livia Bejan
Keyword(s):  
Vector Fields ◽  
Ricci Soliton ◽  
Conformal Vector ◽  
Conformal Vector Fields

SINGULAR FOLIATION GENERATED BY AN ORBIT OF FAMILY OF VECTOR FIELDS

2021 ◽  
Vol 10 (4) ◽  
pp. 2141-2147
Author(s):  
X.F. Sharipov ◽  
B. Boymatov ◽  
N. Abriyev
Keyword(s):  
Dynamical Systems ◽  
Euclidean Space ◽  
Control Theory ◽  
Vector Fields ◽  
Singular Foliation ◽  
Completely Integrable ◽  
Conformal Vector ◽  
Conformal Vector Fields ◽  
Systems Control

Geometry of orbit is a subject of many investigations because it has important role in many branches of mathematics such as dynamical systems, control theory. In this paper it is studied geometry of orbits of conformal vector fields. It is shown that orbits of conformal vector fields are integral submanifolds of completely integrable distributions. Also for Euclidean space it is proven that if all orbits have the same dimension they are closed subsets.

scholarly journals WEAKLY EINSTEIN CRITICAL POINT EQUATION

2016 ◽  
Vol 53 (4) ◽  
pp. 1087-1094 ◽  
Author(s):  
Seungsu Hwang ◽  
Gabjin Yun
Keyword(s):  
Critical Point ◽  
Point Equation ◽  
Critical Point Equation

Critical point equation on four-dimensional compact manifolds

2014 ◽  
Vol 287 (14-15) ◽  
pp. 1618-1623 ◽  
Author(s):  
Abdênago Barros ◽  
Ernani Ribeiro
Keyword(s):  
Critical Point ◽  
Compact Manifolds ◽  
Point Equation ◽  
Critical Point Equation
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