scholarly journals Connected components of the space of proper gradient vector fields

2021 ◽  
Vol 24 (1) ◽  
Author(s):  
Maciej Starostka
Keyword(s):  
Vector Fields ◽  
Connected Components ◽  
Gradient Vector ◽  
Proper Maps

AbstractWe show that there exist two proper gradient vector fields on $$\mathbb {R}^n$$ R n which are homotopic in the category of proper maps but not homotopic in the category of proper gradient maps.

scholarly journals Gradient Vector Fields Do Not Generate Twister Dynamics

2001 ◽  
Vol 174 (1) ◽  
pp. 91-100 ◽  
Author(s):  
P. Fortuny ◽  
F. Sanz
Keyword(s):  
Vector Fields ◽  
Gradient Vector

scholarly journals Counting and Discrete Morse Theory

2019 ◽  
Vol 21 (1) ◽  
Author(s):  
Andrew Sack
Keyword(s):  
Morse Theory ◽  
Vector Fields ◽  
Discrete Morse Theory ◽  
Gradient Vector ◽  
Morse Functions

We examine enumerating discrete Morse functions on graphs up to equivalence by gradient vector fields and by restrictions on the codomain.  We give formulae for the number of discrete Morse functions on specific classes of graphs (line, cycle, and bouquet of circles).

scholarly journals On Trajectories of Analytic Gradient Vector Fields

2002 ◽  
Vol 184 (1) ◽  
pp. 215-223 ◽  
Author(s):  
Aleksandra Nowel ◽  
Zbigniew Szafraniec
Keyword(s):  
Vector Fields ◽  
Gradient Vector

scholarly journals Curvature estimation in oriented patterns using curvilinear models applied to gradient vector fields

2001 ◽  
Vol 23 (9) ◽  
pp. 1035-1042 ◽  
Author(s):  
J. van de Weijer ◽  
L.J. van Vliet ◽  
P.W. Verbeek ◽  
R. van Ginkel
Keyword(s):  
Vector Fields ◽  
Gradient Vector ◽  
Curvature Estimation

scholarly journals Gradient vector fields which characterize warped products

2001 ◽  
Vol 88 (2) ◽  
pp. 182
Author(s):  
Nobuhiro Innami ◽  
Byung Hak Kim
Keyword(s):  
Vector Fields ◽  
Conjugate Points ◽  
Warped Products ◽  
Gradient Vector ◽  
Jacobi Equations

We find what condition on gradient vector fields characterizes warped products, Riemannian products and round spheres. To do this we apply the theory of Jacobi equations without conjugate points to the differential maps of the local one-parameter groups generated by gradient vector fields.

Sign in / Sign up

Export Citation Format

Share Document