Parallelizability of Homogeneous Spaces. I.
On the Lusternik-Schnirelmann Category of Lie Groups.
On the Lusternik-Schnirelmann Category of Lie Groups: II.
Generalized Higher Order Cohomology Operations Induced by the Diagonal Mapping.
Über nichtlineare Spektral- und Störungstheorie.
Minimal Coverings of Manifolds with Balls.
Parallelizability of Homogeneous Spaces, II.
A counterexample to smooth leafwise Hodge decomposition for general foliations and to a type of dynamical trace formulas
We construct a two dimensional foliation with dense leaves on the Heisenberg nilmanifold for which smooth leafwise Hodge decomposition does not hold. It is also shown that a certain type of dynamical trace formulas relating periodic orbits with traces on leafwise cohomologies does not hold for arbitrary flows.
Page 1