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Displaying 41 – 60 of 154

Planar surfaces in three-manifolds.

Sbrodova, E.A. (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Planar trees, slalom curves and hyperbolic knots

Norbert A'Campo (1998)

Publications Mathématiques de l'IHÉS

Planar vector field versions of Carathéodory's and Loewner's conjectures.

Carlos Gutiérrez, Federico Sánchez Bringas (1997)

Publicacions Matemàtiques

Let r = 3, 4, ... , ∞, ω. The Cr-Carathéodory's Conjecture states that every Cr convex embedding of a 2-sphere into R3 must have at least two umbilics. The Cr-Loewner's conjecture (stronger than the one of Carathéodory) states that there are no umbilics of index bigger than one. We show that these two conjectures are equivalent to others about planar vector fields. For instance, if r ≠ ω, Cr-Carathéodory's Conjecture is equivalent to the following one:Let ρ > 0 and β: U ⊂ R2 → R, be of class...

Plane affine geometry and Anosov flows

Thierry Barbot (2001)

Annales scientifiques de l'École Normale Supérieure

Plane curve singularities and carousels

Lê Dung Tráng (2003)

Annales de l’institut Fourier

In this paper we give a direct and explicit description of the local topological embedding of a plane curve singularity using the Puiseux expansions of its branches in a given set of coordinates.

Plane curves associated to character varieties of 3-manifolds.

M. Culler, H. Gillet, D. Cooper (1994)

Inventiones mathematicae

Planes and Spheres as Topological Manifolds. Stereographic Projection

Marco Riccardi (2012)

Formalized Mathematics

The goal of this article is to show some examples of topological manifolds: planes and spheres in Euclidean space. In doing it, the article introduces the stereographic projection [25].

Plongement du tore $T_{2}$ dans la sphère $S_{3}$

G. Joubert, H. Rosenberg (1969)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Plongements dans les variétés feuilletées et classification de feuilletages sans holonomie

Robert Roussarie (1974)

Publications Mathématiques de l'IHÉS

Plongements de variétés différentiables orientées de dimension 4k dans R...

J. Boéchat (1971)

Commentarii mathematici Helvetici

Plongements lipschitziens dans un espace pentagonal

P. Assouad (1979/1980)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Poincaré Algebras Modulo an odd Prime

R.E. Stong (1974)

Commentarii mathematici Helvetici

Poincaré bundles for projective surfaces

Nicole Mestrano (1985)

Annales de l'institut Fourier

Let $X$ be a smooth projective surface, $K$ the canonical divisor, $H$ a very ample divisor and $M_{H} (c_{1}, c_{2})$ the moduli space of rank-two vector bundles, $H$ -stable with Chern classes $c_{1}$ and $c_{2}$ . We prove that, if there exists $c_{1}^{'}$ such that $c_{1}$ is numerically equivalent to $2 c_{1}^{'}$ and if $c_{2} - \frac{1}{4} c_{1}^{2}$ is even, greater or equal to $H^{2} + H K + 4$ , then there is no Poincaré bundle on $M_{H} (c_{1}, c_{2}) \times X$ . Conversely, if there exists $c_{1}^{'}$ such that the number $c_{1}^{'} \cdot c_{1}$ is odd or if $\frac{1}{2} c_{1}^{2} - \frac{1}{2} c_{1} \cdot K - c_{2}$ is odd, then there exists a Poincaré bundle on $M_{H} (c_{1}, c_{2}) \times X$ .

Poincaré Dualität für Räume mit Normalisierung

Ludger Kaup (1972)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Poincaré duality and commutative differential graded algebras

Pascal Lambrechts, Don Stanley (2008)