scholarly journals Existence of common zeros for commuting vector fields on three manifolds

2017 ◽  
Vol 67 (4) ◽  
pp. 1741-1781 ◽  
Author(s):  
Christian Bonatti ◽  
Bruno Santiago
Keyword(s):  
Vector Fields ◽  
Common Zeros ◽  
Commuting Vector Fields

scholarly journals Existence of common zeros for commuting vector fields on 3‐manifolds II. Solving global difficulties

2020 ◽  
Vol 121 (4) ◽  
pp. 828-875
Author(s):  
Sébastien Alvarez ◽  
Christian Bonatti ◽  
Bruno Santiago
Keyword(s):  
Vector Fields ◽  
Common Zeros ◽  
Commuting Vector Fields

scholarly journals Commuting vector fields on 2-manifolds

1963 ◽  
Vol 69 (3) ◽  
pp. 366-369 ◽  
Author(s):  
Elon L. Lima
Keyword(s):  
Vector Fields ◽  
Commuting Vector Fields

scholarly journals Commuting vector fields on $S\sp{2}$

1964 ◽  
Vol 15 (1) ◽  
pp. 138-138
Author(s):  
Elon L. Lima
Keyword(s):  
Vector Fields ◽  
Commuting Vector Fields

scholarly journals On Hessian Measures for Non-Commuting Vector Fields

2006 ◽  
Vol 2 (1) ◽  
pp. 147-161 ◽  
Author(s):  
Neil S Trudinger
Keyword(s):  
Vector Fields ◽  
Commuting Vector Fields

scholarly journals Non-divergence form parabolic equations associated with non-commuting vector fields: boundary behavior of nonnegative solutions

2012 ◽  
pp. 437-474
Author(s):  
Marie Frentz ◽  
Nicola Garofalo ◽  
Elin Götmark ◽  
Isidro Munive ◽  
Kaj Nyström
Keyword(s):  
Parabolic Equations ◽  
Vector Fields ◽  
Boundary Behavior ◽  
Divergence Form ◽  
Nonnegative Solutions ◽  
Commuting Vector Fields

The Equality of a Manifold's Rank and Dimension

1969 ◽  
Vol 12 (2) ◽  
pp. 183-184
Author(s):  
R. S. D. Thomas
Keyword(s):  
Vector Fields ◽  
Present Note ◽  
Linearly Independent ◽  
Commuting Vector Fields

T. J. Willmore has shown that if a differentiable manifold's rank (the maximum number of everywhere linearly independent commuting vector fields definable on it) equals the manifold's dimension, then the manifold is a torus of the appropriate dimension [1]. This theorem is proved more simply and without any differentiability hypothesis in the present note.

Commuting Vector Fields on S 3

1965 ◽  
Vol 81 (1) ◽  
pp. 70 ◽  
Author(s):  
Elon L. Lima
Keyword(s):  
Vector Fields ◽  
Commuting Vector Fields

scholarly journals Nambu tensors and commuting vector fields

1997 ◽  
Vol 30 (3) ◽  
pp. L27-L33 ◽  
Author(s):  
J Hietarinta
Keyword(s):  
Vector Fields ◽  
Commuting Vector Fields
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