Saskia Roos

collaborators

3 papers

math.DG2018

Scalar curvature and the multiconformal class of a direct product Riemannian manifold

Nobuhiko Otoba, Saskia Roos

For a closed, connected direct product Riemannian manifold $(M, g) = (M_{1} \times \dots \times M_{l}, g_{1} \oplus \dots \oplus g_{l})$ , we define its multiconformal class $[[g]]$ as the…

math.SP2018

The Dirac operator under collapse to a smooth limit space

Saskia Roos

Let $(M_{i}, g_{i})_{i \in N}$ be a sequence of spin manifolds with uniform bounded curvature and diameter that converges to a lower dimensional Riemannian manifold $(B, h)$ in…

math.SP2017

Dirac operators with $W^{1, \infty}$ -potential under codimension one collapse

Saskia Roos

We study the behavior of the spectrum of the Dirac operator together with a symmetric $W^{1, \infty}$ -potential on spin manifolds under a collapse of codimension one with bounded s…

Scalar curvature and the multiconformal class of a direct product Riemannian manifold

The Dirac operator under collapse to a smooth limit space

Dirac operators with W1,∞-potential under codimension one collapse

Dirac operators with $W^{1, \infty}$ -potential under codimension one collapse