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

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6 papers · 1 filter

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.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