3 citations · 8 across the 5 of their papers we have counts for
4 papers · 1 filter
Spaces of positive intermediate curvature metrics
Georg Frenck, Jan-Bernhard Kordaß
In this paper we study spaces of Riemannian metrics with lower bounds on intermediate curvatures. We show that the spaces of metrics of positive p-curvature and k-positive Ricci cu…
Curvature bounds for regularized riemannian metrics
Daniel Luckhardt, Jan-Bernhard Kordaß
We investigate regularization of riemannian metrics by mollification. Assuming both-sided bounds on the Ricci tensor and a lower injectivity radius bound we obtain a uniform estima…
Short survey on the existence of slices for the space of Riemannian metrics
Diego Corro, Jan-Bernhard Kordaß
We review the well-known slice theorem of Ebin for the action of the diffeomorphism group on the space of Riemannian metrics of a closed manifold. We present advances in the study…
On the space of riemannian metrics satisfying surgery stable curvature conditions
Jan-Bernhard Kordaß
We utilize a condition for algebraic curvature operators called surgery stability as suggested by the work of S. Hoelzel to investigate the space of riemannian metrics over closed…