Parallelisability conditions for differentiable three-webs.
Parallelisability conditions for differentiable three-webs
Our aim is to find conditions under which a 3-web on a smooth -dimensional manifold is locally equivalent with a web formed by three systems of parallel -planes in . We will present here a new approach to this “classical” problem using projectors onto the distributions of tangent subspaces to the leaves of foliations forming the web.
Parallélismes absolus des variétés lorentziennes
Tout parallélisme absolu d’une variété lorentzienne complète et simplement connexe respecte une décomposition de de Rham ; dans le cas faiblement irréductible mais non irréductible, la variété est un groupe de Lie résoluble.
Parallelizability of Homogeneous Spaces. I.
Parallelograms inscribed in a curve having a circle as π/2-isoptic
Jean-Marc Richard observed in [7] that maximal perimeter of a parallelogram inscribed in a given ellipse can be realized by a parallelogram with one vertex at any prescribed point of ellipse. Alain Connes and Don Zagier gave in [4] probably the most elementary proof of this property of ellipse. Another proof can be found in [1]. In this note we prove that closed, convex curves having circles as π/2-isoptics have the similar property.
Parallel-P-Äquidistante Regelflächen.
Parameters of distribution of -dimensional monosystems in the Euclidean space
Parametric mean curvature evolution with a Dirichlet boundary condition.
Parametrization of a family of minimal surfaces bounded by the broken lines in .
Paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds and semi-Riemannian submersions
In this paper we introduce paraquaternionic CR-submanifolds of almost paraquaternionic hermitian manifolds and state some basic results on their differential geometry. We also study a class of semi-Riemannian submersions from paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds.
Paraquaternionic projective space and pseudo-Riemannian geometry.
Partages de type Borsuk
Partial integrability on Thurston manifolds
We determine the maximal number of independent holomorphic functions on the Thurston manifolds , r ≥ 1, which are the first discovered compact non-Kähler almost Kähler manifolds. We follow the method which involves analyzing the torsion tensor dθ modθ, where are independent (1,0)-forms.
Partial regularity of functions of least gradient in
Partial regularity results up to the boundary for harmonic maps into a Finsler manifold
Particular -structure on vector bundle and compatible -connections.
Particular trace decompositions and applications of trace decomposition to almost projective invariants
First, by using the formulae of Krupka, the trace decomposition for some particular classes of tensors of types (1, 2) and (1, 3) is obtained. Second, it is proved that the traceless part of a tensor is an almost projective invariant of weight 1. We apply this result to Weyl curvature tensors.
Passer au global : le cas d’Élie Cartan, 1922–1930
Après avoir enrichi la notion de connexion entre 1922 et 1925, Élie Cartan jette entre 1925 et 1930 les bases de l’étude topologique et géométrique globale des groupes de Lie et variétés homogènes. Nous voulons montrer que ce passage aux questions globales s’accompagne d’une réorganisation complète, aux niveaux théorique, thématique et rhétorique, autour d’une polarité local / global jusque là absente des travaux de Cartan ; elle remplace, selon nous, une polarité infinitésimal / fini héritée du...
p-convex Riemannian manifolds.
PDI&PDE-constrained optimization problems with curvilinear functional quotients as objective vectors.