37 citations · 48 across the 5 of their papers we have counts for
5 papers
Reflection groups on Riemannian manifolds
Dmitri Alekseevsky, Andreas Kriegl, Mark Losik +1
We investigate discrete groups of isometries of a complete connected Riemannian manifold which are generated by reflections, in particular those generated by disecting refl…
Differentiable perturbation of unbounded operators
Andreas Kriegl, Peter W. Michor
If is a $C^{1,\al}$-curve of unbounded self-adjoint operators with compact resolvents and common domain of definition, then the eigenvalues can be parameterized in …
Choosing roots of polynomials smoothly
Dmitri Alekseevsky, Andreas Kriegl, Mark Losik +1
We clarify the question whether for a smooth curve of polynomials one can choose the roots smoothly and related questions. Applications to perturbation theory of operators are give…
Regular infinite dimensional Lie groups
Andreas Kriegl, Peter W. Michor
Regular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the Lie algebra integrate to smooth curves in the group in a smooth way (an `evolutio…
Product preserving functors of infinite dimensional manifolds
Andreas Kriegl, Peter W. Michor
The theory of product preserving functors and Weil functors is partly extended to infinite dimensional manifolds, using the theory of -algebras.