A convenient setting for differential geometry and global analysis II
A convenient setting for holomorphy
A convergence result for finite volume schemes on Riemannian manifolds
This paper studies a family of finite volume schemes for the hyperbolic scalar conservation law on a closed Riemannian manifold M. For an initial value in BV(M) we will show that these schemes converge with a convergence rate towards the entropy solution. When M is 1-dimensional the schemes are TVD and we will show that this improves the convergence rate to
A convex Darboux theorem
A convexity theorem for Poisson actions of compact Lie groups
A correction of two papers concerning Hilbert manifolds
A correction to a paper of H. King.
A counterexample for the optimality of Kendall-Cranston coupling.
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.
A critical point result for non-differentiable indefinite functionals
In this paper, two deformation lemmas concerning a family of indefinite, non necessarily continuously differentiable functionals are proved. A critical point theorem, which extends the classical result of Benci-Rabinowitz [14, Theorem 5.29] to the above-mentioned setting, is then deduced.
A curious remark concerning the geometric transfer map.
A cut-off theorem for plurisubharmonic currents.
A Cyclic Projection Algorithm Via Duality.
A de Rham theorem in the context of noncommutative geometry.
A description of derivations of the algebra of symmetric tensors
In this paper the symmetric differential and symmetric Lie derivative are introduced. Using these tools derivations of the algebra of symmetric tensors are classified. We also define a Frölicher-Nijenhuis bracket for vector valued symmetric tensors.
A description of the tangent functor category
A differentiable isomorphism between Wiener space and path group
A Direct Approach to the Determination of Gaussian and Scalar Curvature Functions.
A directional compactification of the complex Bloch variety.
A directional compactification of the complex Fermi surface