Parallelizability in Banach spaces: parallelizable dynamical systems with bounded trajectories
Parametric representations of semi-complete vector fields on the unit balls in and in Hilbert space
We present several characterizations and representations of semi-complete vector fields on the open unit balls in complex Euclidean and Hilbert spaces.
Periodic actions on (I-D) normed linear spaces
Periodic actions on the Hilbert cube
Plateau's Problem for surfaces of constant mean curvature form a global point of view.
Plateau-Stein manifolds
We study/construct (proper and non-proper) Morse functions f on complete Riemannian manifolds X such that the hypersurfaces f(x) = t for all −∞ < t < +∞ have positive mean curvatures at all non-critical points x ∈ X of f. We show, for instance, that if X admits no such (not necessarily proper) function, then it contains a (possibly, singular) complete (possibly, compact) minimal hypersurface of finite volume.
Plongements lipschitziens dans un espace pentagonal
Poincaré-invariant structures in the solution manifold of a nonlinear wave equation.
The solution manifold M of the equation ⎯φ + gφ3 = 0 in Minkowski space is studied from the standpoint of the establishment of differential-geometric structures therein. It is shown that there is an almost Kähler structure globally defined on M that is Poincaré invariant. In the vanishing curvature case g = 0 the structure obtained coincides with the complex Hilbert structure in the solution manifold of the real wave equation. The proofs are based on the transfer of the equation to an ambient universal...
Product preserving functors of infinite dimensional manifolds.
Product preserving functors of infinite-dimensional manifolds
The theory of product preserving functors and Weil functors is partly extended to infinite dimensional manifolds, using the theory of -algebras.
Projective bundles on infinite-dimensional complex spaces.
Projective limits of Banach vector bundles.
Property Z and Property Y sets in F-manifolds
Propriété de Runge et enveloppe d'holomorphie de certaines variétés analytiques de dimensions infinies
Pseudo-interiors of hyperspaces