arXiv subjects

Stine Franziska Beitz

Publications and source records attributed to Stine Franziska Beitz.

2 recordsLinked to original sources

arXiv2019

Spectrum of generalized Hodge-Laplace operators on flat tori and round spheres

We consider generalized Hodge-Laplace operators $αd δ+ βδd$ for $α, β> 0$ on $p$-forms on compact Riemannian manifolds. In the case of flat tori and round spheres of different radii, we explicitly calculate the spectrum of these operators. Furthermore, we investigate under which circumstances they are isospectral.

math.DG↗

arXiv2019

Bianchi-convex sets and a new maximum principle for the Ricci flow

We introduce the new notion of Bianchi-convex sets, a generalization of convex sets of algebraic curvature tensors inspired by the second Bianchi identity. It turns out that Hamilton's maximum principle for the Ricci flow can be generalized for Bianchi-convex sets.

math.DG↗