3 citations · 3 across the 2 of their papers we have counts for
5 papers
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…
Bundles with even-dimensional spherical space form as fibers and fiberwise quarter pinched Riemannian metrics
Diego Corro, Karla Garcia, Martin Günther +1
Let be a smooth bundle with fiber an -dimensional real projective space . We show that, if every fiber carries a positively curved pointwise strongly -pi…
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…