F. Turiel

activity

20072022

most citedOn the local theory of Veronese webs

7 citations · 13 across the 13 of their papers we have counts for

collaborators

14 papers

math.DS2022

On the minimal dimension of the orbits of a $R^{n}$ -action

Francisco-Javier Turiel

Consider a smooth action of $R^{n}$ on a connected manifold $M$ , not necessarily compact, of dimension $m$ and rank $k$ . Assume that $M$ is not a cylinder. Then there exists…

math.DG2021

Smooth actions of connected compact Lie groups with a free point are determined by two vector fields

F. J. Turiel, A. Viruel

Consider a smooth action $G \times M \to M$ of a compact connected Lie group $G$ on a connected manifold $M$ . Assume the existence of a point of $M$ whose is…

math.GR2021

Groups as automorphisms of dessins d'enfants

Alejandro Cañas, Ruben A. Hidalgo, Francisco Javier Turiel +1

It is known that every finite group can be represented as the full group of automorphisms of a suitable compact dessin d'enfant. In this paper, we give a constructive and easy proo…

math.DS2018

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 $G$ of diffeomorphisms of a connected smooth manifold $M$ of dimension $\geq 2$ equals, up to quotient by the flow, the centr…

math.DS2018

Primary singularities of vector fields on surfaces

Morris W. Hirsch, Francisco-Javier Turiel

Unless another thing is stated one works in the $C^{\infty}$ category and manifolds have empty boundary. Let $X$ and $Y$ be vector fields on a manifold $M$ . We say that $Y$ tracks $X…

math.DS2016★ 2 cited

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 ( $F = R$ ) or complex ( $F = C$ ) analytic connected 2-manifold $M$ with empty boundary consider two vector fields $X, Y$ . We say that $Y$ {\it tr…

math.DS2016

On the rank of a product of manifolds

Francisco-Javier Turiel, Arthur G. Wasserman

This note gives an example of closed smooth manifolds $M$ and $N$ for which the rank of $M \times N$ is strictly greater than $r ank M + r ank N$ .

math.DS2016★ 1 cited

Smooth actions of $A f f^{+} (R)$ 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…

math.DG2015

Smooth toric actions are described by a single vector field

F. J. Turiel, A. Viruel

Consider a smooth effective action of a torus $T^{n}$ on a connected $C^{\infty}$ -manifold $M$ of dimension $m$ . Then $n \leq m$ . In this work we show that if $n < m$ , then the…

math.DG2015

Flatness of generic Poisson pairs in odd dimension

Francisco-Javier Turiel

Given a $(m - 2)$ -form $\zw$ and a volume form $\zW$ on a $m$ -manifold one defines a bi-vector $\zL$ by setting $\zL(\za,\zb)={\frac {\za\zex\zb\zex\zw} {\zW}}$ for any $1$ -forms $\z…

math.DG2011

Finite $C^{\infty}$ -actions are described by one vector field

F. J. Turiel, A. Viruel

In this work one shows that given a connected $C^{\infty}$ -manifold $M$ of dimension $\geq 2$ and a finite subgroup $G\subset \Diff(M)$, there exists a complete vector field $X$ on $…

math.SG2011★ 3 cited

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…

math.DG2010★ 7 cited

On the local theory of Veronese webs

Francisco-Javier Turiel

This work is an introduction to the local geometric theory of Veronese webs developed in the last twenty years. Among the different possible approach, here one has chosen the point…

math.AT2007

Complex Polynomial Representation of $π_{n + 1} (s^{n})$ and $π_{n + 2} (s^{n})$

Francisco-Javier Turiel

The complex affine quadric $Q^{m} = {z \in C^{m + 1} ∣ z_{1}^{2} + ... + z_{m + 1}^{2} = 1}$ deforms by retraction onto $S^{m}$ ; this allows us to identify $[Q^{k}, Q^{n}]$ and $[S^{k…

On the minimal dimension of the orbits of a Rn-action

Smooth actions of connected compact Lie groups with a free point are determined by two vector fields

Groups as automorphisms of dessins d'enfants

Finite groups of diffeomorphisms are topologically determined by a vector field

Primary singularities of vector fields on surfaces

Zero sets of Lie algebras of analytic vector fields on real and complex 2-dimensional manifolds, II

On the rank of a product of manifolds

Smooth actions of Aff+(R) on compact surfaces with no fixed point: an elementary construction

Smooth toric actions are described by a single vector field

Flatness of generic Poisson pairs in odd dimension

Finite C∞-actions are described by one vector field

The Local Product Theorem for bihamiltonian structures

On the local theory of Veronese webs

Complex Polynomial Representation of πn+1​(sn) and πn+2​(sn)

On the minimal dimension of the orbits of a $R^{n}$ -action

Smooth actions of $A f f^{+} (R)$ on compact surfaces with no fixed point: an elementary construction

Finite $C^{\infty}$ -actions are described by one vector field

Complex Polynomial Representation of $π_{n + 1} (s^{n})$ and $π_{n + 2} (s^{n})$