Projektivní deformace přímkových kongruencí vnořených do šestirozměrných projektivních prostorů
Projektivní diferenciální geometrie [Book]
Projektivní vlastnosti minimálních ploch s kružnicemi normální křivosti
Prolongation of Poisson -form on Weil bundles
In this paper, denotes a smooth manifold of dimension , a Weil algebra and the associated Weil bundle. When is a Poisson manifold with -form , we construct the -Poisson form , prolongation on of the -Poisson form . We give a necessary and sufficient condition for that be an -Poisson manifold.
Prolongation of projectable tangent valued forms
First we deduce some general properties of product preserving bundle functors on the category of fibered manifolds. Then we study the prolongation of projectable tangent valued forms with respect to these functors and describe the complete lift of the Frölicher-Nijenhuis bracket. We also present the coordinate formula for composition of semiholonomic jets.
Prolongation of second order connections to vertical Weil bundles
We study systematically the prolongation of second order connections in the sense of C. Ehresmann from a fibered manifold into its vertical bundle determined by a Weil algebra . In certain situations we deduce new properties of the prolongation of first order connections. Our original tool is a general concept of a -field for another Weil algebra and of its -prolongation.
Prolongation of tangent valued forms to Weil bundles
We prove that the so-called complete lifting of tangent valued forms from a manifold to an arbitrary Weil bundle over preserves the Frölicher-Nijenhuis bracket. We also deduce that the complete lifts of connections are torsion-free in the sense of M. Modugno and the second author.
Prolongation of vector fields to jet bundles
[For the entire collection see Zbl 0699.00032.] In this interesting paper the authors show that all natural operators transforming every projectable vector field on a fibered manifold Y into a vector field on its r-th prolongation are the constant multiples of the flow operator. Then they deduce an analogous result for the natural operators transforming every vector field on a manifold M into a vector field on any bundle of contact elements over M.
Prolongations of connections and sprays with respect to Weil functors
Prolongations of -structure to the tangent bundle of order 2.
Prolongations of linear overdetermined systems on affine and Riemannian manifolds
Prolongement des champs de vecteurs à des variétés de points proches
Prolongement des structures spinorielles
Prolongement des structures spinorielles sur la variété des jets
Proof of the double bubble conjecture.
Proof of the Knop conjecture
In this paper we prove the Knop conjecture asserting that two smooth affine spherical varieties with the same weight monoid are equivariantly isomorphic. We also state and prove a uniqueness property for (not necessarily smooth) affine spherical varieties.
Propagation dans les variétés
Propagation des discontinuités du tenseur dérivé du champ électromagnétique et du tenseur de courbure dans une onde électromagnétique et gravitationnelle
Proper action on a homogeneous space of reductive type.
Proper groupoids and momentum maps : linearization, affinity, and convexity