3 citations · 5 across the 4 of their papers we have counts for
7 papers
On the minimal dimension of the orbits of a -action
Francisco-Javier Turiel
Consider a smooth action of on a connected manifold , not necessarily compact, of dimension and rank . Assume that is not a cylinder. Then there exists…
Finite groups of diffeomorphisms are topologically determined by a vector field
F. J. Turiel, A. Viruel
In a previous work it is shown that every finite group of diffeomorphisms of a connected smooth manifold of dimension equals, up to quotient by the flow, the centr…
Primary singularities of vector fields on surfaces
Morris W. Hirsch, Francisco-Javier Turiel
Unless another thing is stated one works in the category and manifolds have empty boundary. Let and be vector fields on a manifold . We say that tracks $X…
Zero sets of Lie algebras of analytic vector fields on real and complex 2-dimensional manifolds, II
Morris W. Hirsch, F. -J. Turiel
On a real () or complex () analytic connected 2-manifold with empty boundary consider two vector fields . We say that {\it tr…
Smooth actions of on compact surfaces with no fixed point: an elementary construction
Francisco-Javier Turiel
Any compact surface supports a continuous action of the orientation preserving affine group of the real line which is fixed point free (Lima and Plante). It is generally admitted t…
The Local Product Theorem for bihamiltonian structures
Francisco-Javier Turiel
In this work one proves that, around each point of a dense open set (regular points), a real analytic or holomorphic bihamiltonian structure decomposes into a product of a Kronecke…