Foliations with Degenerate  Gauss maps on $\mathbb{P}^4$

Thiago Fassarella

Displaying similar documents to “Foliations with Degenerate Gauss maps on $ℙ^{4}$ ”

Codimension one minimal foliations and the fundamental groups of leaves

Tomoo Yokoyama, Takashi Tsuboi (2008)

Annales de l’institut Fourier

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Let $ℱ$ be a transversely orientable transversely real-analytic codimension one minimal foliation of a paracompact manifold $M$ . We show that if the fundamental group of each leaf of $ℱ$ is isomorphic to $Z$ , then $ℱ$ is without holonomy. We also show that if $π_{2} (M) ≅ 0$ and the fundamental group of each leaf of $ℱ$ is isomorphic to $Z^{k}$ ( $k \in Z_{\geq 0}$ ), then $ℱ$ is without holonomy.

The diffeomorphism group of a Lie foliation

Gilbert Hector, Enrique Macías-Virgós, Antonio Sotelo-Armesto (2011)

Annales de l’institut Fourier

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We describe explicitly the group of transverse diffeomorphisms of several types of minimal linear foliations on the torus $T^{n}$ , $n \geq 2$ . We show in particular that non-quadratic foliations are rigid, in the sense that their only transverse diffeomorphisms are $\pm Id$ and translations. The description derives from a general formula valid for the group of transverse diffeomorphisms of any minimal Lie foliation on a compact manifold. Our results generalize those of P. Donato and P. Iglesias for $T^{2}$ , P. Iglesias...

Foliations with complex leaves

Giuseppe Tomassini (1995)

Banach Center Publications

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An application of a theorem of Huber in holomorphic foliation theory

Hans-Jörg Reiffen (1995)

Banach Center Publications

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Flows of flowable Reeb homeomorphisms

Shigenori Matsumoto (2012)

Annales de l’institut Fourier

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We consider a fixed point free homeomorphism $h$ of the closed band $B = ℝ \times [0, 1]$ which leaves each leaf of a Reeb foliation on $B$ invariant. Assuming $h$ is the time one of various topological flows, we compare the restriction of the flows on the boundary.

The $C^{1}$ invariance of the algebraic multiplicity of a holomorphic vector field

Rudy Rosas (2010)

Annales de l’institut Fourier

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We prove that the algebraic multiplicity of a holomorphic vector field at an isolated singularity is invariant by $C^{1}$ equivalences.

Finite determinacy of dicritical singularities in $(ℂ^{2}, 0)$

Gabriel Calsamiglia-Mendlewicz (2007)

Annales de l’institut Fourier

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For germs of singularities of holomorphic foliations in $(ℂ^{2}, 0)$ which are regular after one blowing-up we show that there exists a functional analytic invariant (the transverse structure to the exceptional divisor) and a finite number of numerical parameters that allow us to decide whether two such singularities are analytically equivalent. As a result we prove a formal-analytic rigidity theorem for this kind of singularities.

Displaying similar documents to “Foliations with Degenerate Gauss maps on ℙ 4 ”

Codimension one minimal foliations and the fundamental groups of leaves

The diffeomorphism group of a Lie foliation

Foliations with complex leaves

An application of a theorem of Huber in holomorphic foliation theory

Flows of flowable Reeb homeomorphisms

The C 1 invariance of the algebraic multiplicity of a holomorphic vector field

Finite determinacy of dicritical singularities in ( ℂ 2 , 0 )

Displaying similar documents to “Foliations with Degenerate Gauss maps on $ℙ^{4}$ ”

The $C^{1}$ invariance of the algebraic multiplicity of a holomorphic vector field

Finite determinacy of dicritical singularities in $(ℂ^{2}, 0)$