Banachian Differentiable Spaces.
Beispiele zur lokalen Theorie der differenzierbaren Räume.
Beschränkte Lösungen der Cauchy-Riemannschen Differentialgleichungen auf q-konkaven Gebieten.
Boundaries of graphs of harmonic functions.
Bounding the degree of solutions to Pfaff equations
We study hypersurfaces of complex projective manifolds which are invariant by a foliation, or more generally which are solutions to a Pfaff equation. We bound their degree using classical results on logarithmic forms.
Bundle functors on all foliated manifold morphisms have locally finite order
We prove that any bundle functor F:ℱol → ℱℳ on the category ℱ olof all foliated manifolds without singularities and all leaf respecting maps is of locally finite order.
Bundle functors with the point property which admit prolongation of connections
Let F:ℳ f →ℱℳ be a bundle functor with the point property F(pt) = pt, where pt is a one-point manifold. We prove that F is product preserving if and only if for any m and n there is an -canonical construction D of general connections D(Γ) on Fp:FY → FM from general connections Γ on fibred manifolds p:Y → M.